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Finding the Fourth Proportional to 725.92, 1,002.24 and 431.20

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Solution

The fourth proportional to 725.92, 1,002.24 and 431.20 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.92 : 1,002.24 = 431.20 : x
  2. Step 2: Convert to fraction form
    725.92/1,002.24 = 431.20/x
  3. Step 3: Cross multiply
    725.92x = 1,002.24 × 431.20
  4. Step 4: Simplify right side
    725.92x = 432,165.89
  5. Step 5: Solve for x
    x = 432,165.89/725.92
  6. Step 6: Final answer
    x = 595.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.