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Finding the Fourth Proportional to 721.50, 1,082.17 and 331.35

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Solution

The fourth proportional to 721.50, 1,082.17 and 331.35 is: 496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.50 : 1,082.17 = 331.35 : x
  2. Step 2: Convert to fraction form
    721.50/1,082.17 = 331.35/x
  3. Step 3: Cross multiply
    721.50x = 1,082.17 × 331.35
  4. Step 4: Simplify right side
    721.50x = 358,577.03
  5. Step 5: Solve for x
    x = 358,577.03/721.50
  6. Step 6: Final answer
    x = 496.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.