Hi axfalk,
Depending on the type of router you have , the port designation convention might change. For example, some high end routers such as 7500 series device can have a virtual interface processor. Designation of these ports would also include the VIP slot:
//
Taking your example of fastethernet 4/0/1
port type ===> fast ethernet
slot num ===> 4
port adap number ===> 0
port number ===> 1
HTH
Ankur