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Finding the Fourth Proportional to 729.91, 1,007.53 and 431.15

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Solution

The fourth proportional to 729.91, 1,007.53 and 431.15 is: 595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.91 : 1,007.53 = 431.15 : x
  2. Step 2: Convert to fraction form
    729.91/1,007.53 = 431.15/x
  3. Step 3: Cross multiply
    729.91x = 1,007.53 × 431.15
  4. Step 4: Simplify right side
    729.91x = 434,396.56
  5. Step 5: Solve for x
    x = 434,396.56/729.91
  6. Step 6: Final answer
    x = 595.14

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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.