Great chord progressions are informed by the circle of fifths / fourths. By simply playing chords of successive fourths in sequence, you can make excellent music.
Weezer's song, "Island in the Sun" is a nice example.
The song cycles through a simple pattern of:Â Em - Am - D - G (or chords vi - ii - V - I in the key of G). Within the circle of thirds, you can see that these harmonies progress through states of stability (vi), change (ii), tension (V), and stability once more (I).
But when you look closer at that the root notes of these chords, it's clear that the pattern follows a sequence of successive fourths (Em - Am - D - G):Â yellow, orange-yellow, orange, red-orange.