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Finding the Fourth Proportional to 729.89, 1,007.38 and 431.12

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Solution

The fourth proportional to 729.89, 1,007.38 and 431.12 is: 595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.89 : 1,007.38 = 431.12 : x
  2. Step 2: Convert to fraction form
    729.89/1,007.38 = 431.12/x
  3. Step 3: Cross multiply
    729.89x = 1,007.38 × 431.12
  4. Step 4: Simplify right side
    729.89x = 434,295.55
  5. Step 5: Solve for x
    x = 434,295.55/729.89
  6. Step 6: Final answer
    x = 595.02

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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.