To start with, we need to quickly cover what SELECT DISTINCT is actually doing. It looks like just a nice keyword to make sure you only get back distinct values, which shouldn't change anything, right? Except as you're finding out, behind the scenes, SELECT DISTINCT is actually acting more like a GROUP BY. If you want to select distinct values of something, you can only order that result set by the same values you're selecting -- otherwise, Postgres doesn't know what to do.
To explain where the ambiguity comes from, consider this simple set of data for your activities:
CREATE TABLE activities (
id INTEGER PRIMARY KEY,
created_at TIMESTAMP WITH TIME ZONE,
micropost_id INTEGER REFERENCES microposts(id)
);
INSERT INTO activities (id, created_at, micropost_id)
VALUES (1, current_timestamp, 1),
(2, current_timestamp - interval '3 hours', 1),
(3, current_timestamp - interval '2 hours', 2)
You stated in your question that you want "distinct micropost_id" "based on order of activities.created_at". It's easy to order these activities by descending created_at (1, 3, 2), but both 1 and 2 have the same micropost_id of 1. So if you want the query to return just micropost IDs, should it return 1, 2 or 2, 1?
If you can answer the above question, you need to take your logic for doing so and move it into your query. Let's say that, and I think this is pretty likely, you want this to be a list of microposts which were most recently acted on. In that case, you want to sort the microposts in descending order of their most recent activity. Postgres can do that for you, in a number of ways, but the easiest way in my mind is this:
SELECT micropost_id
FROM activities
JOIN microposts ON activities.micropost_id = microposts.id
GROUP BY micropost_id
ORDER BY MAX(activities.created_at) DESC
Note that I've dropped the SELECT DISTINCT bit in favor of using GROUP BY, since Postgres handles them much better. The MAX(activities.created_at) bit tells Postgres to, for each group of activities with the same micropost_id, sort by only the most recent.
You can translate the above to Rails like so:
Micropost.select('microposts.*')
.joins("JOIN activities ON activities.micropost_id = microposts.id")
.where('activities.user_id' => id)
.group('microposts.id')
.order('MAX(activities.created_at) DESC')
Hope this helps! You can play around with this sqlFiddle if you want to understand more about how the query works.