This proverb has a virtually identical meaning. See https://en.m.wikipedia.org/wiki/For_Want_of_a_Nail.
In conversation one might say just “For want of a nail!”
For Want of a Nail
For
For want of a nail the shoe was lost.
For
For want of a shoe the horse was lost.
For
For want of a horse the rider was lost.
For
For want of a rider the message was lost.
For
For want of a message the battle was lost.
For
For want of a battle the kingdom was lost.
And
And all for the want of a horseshoe nail.