Final answer:
Roll-up summary fields require a Master-Detail relationship to function. This relationship enables the aggregation of data from detail records to a master record.
Step-by-step explanation:
To enable roll-up summary fields, a Master-Detail relationship must exist between two objects in a database, particularly within Salesforce CRM platform. This type of relationship links detail records (children) to a master record (parent), allowing for the aggregation of data, such as sums or averages, from the detail records onto the master record. In contrast, Option 3: Lookup, and Option 4: Cross-Object, do not inherently support roll-up summaries, although there are ways to obtain similar functionality through custom development or third-party tools.