Finding the Fourth Proportional to 968, 1,452 and 284
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Solution
The fourth proportional to 968, 1,452 and 284 is: 426
Step by Step Solution
- Step 1: Write the proportion equation
968 : 1,452 = 284 : x - Step 2: Convert to fraction form
968/1,452 = 284/x - Step 3: Cross multiply
968x = 1,452 × 284 - Step 4: Simplify right side
968x = 412,368 - Step 5: Solve for x
x = 412,368/968 - Step 6: Final answer
x = 426
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.