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Finding the Fourth Proportional to 721.33, 1,082.09 and 331.24

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Solution

The fourth proportional to 721.33, 1,082.09 and 331.24 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.33 : 1,082.09 = 331.24 : x
  2. Step 2: Convert to fraction form
    721.33/1,082.09 = 331.24/x
  3. Step 3: Cross multiply
    721.33x = 1,082.09 × 331.24
  4. Step 4: Simplify right side
    721.33x = 358,431.49
  5. Step 5: Solve for x
    x = 358,431.49/721.33
  6. Step 6: Final answer
    x = 496.90

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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.