What you are actually doing is using one finger to guide the others. Once your finger finger is down, it's easier to make the other ones go on their respective spots.
With time your hand and finger will be used to the position and you won't need that first finger to guide them, they should work together.
Keep on working on those chord changes and it will come naturally. Even if you can't stay in tempo at first, try to lay down your fingers at the same time. Work on two chords until it flows correctly, then add more.