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Finding the Fourth Proportional to 721.52, 1,082.36 and 227.92

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Solution

The fourth proportional to 721.52, 1,082.36 and 227.92 is: 341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.52 : 1,082.36 = 227.92 : x
  2. Step 2: Convert to fraction form
    721.52/1,082.36 = 227.92/x
  3. Step 3: Cross multiply
    721.52x = 1,082.36 × 227.92
  4. Step 4: Simplify right side
    721.52x = 246,691.49
  5. Step 5: Solve for x
    x = 246,691.49/721.52
  6. Step 6: Final answer
    x = 341.91

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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.