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Finding the Fourth Proportional to 721.74, 1,082.72 and 356.55

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Solution

The fourth proportional to 721.74, 1,082.72 and 356.55 is: 534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.74 : 1,082.72 = 356.55 : x
  2. Step 2: Convert to fraction form
    721.74/1,082.72 = 356.55/x
  3. Step 3: Cross multiply
    721.74x = 1,082.72 × 356.55
  4. Step 4: Simplify right side
    721.74x = 386,042.03
  5. Step 5: Solve for x
    x = 386,042.03/721.74
  6. Step 6: Final answer
    x = 534.88

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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.