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Finding the Fourth Proportional to 531.47, 732.86 and 447.43

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Solution

The fourth proportional to 531.47, 732.86 and 447.43 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.47 : 732.86 = 447.43 : x
  2. Step 2: Convert to fraction form
    531.47/732.86 = 447.43/x
  3. Step 3: Cross multiply
    531.47x = 732.86 × 447.43
  4. Step 4: Simplify right side
    531.47x = 327,899.48
  5. Step 5: Solve for x
    x = 327,899.48/531.47
  6. Step 6: Final answer
    x = 616.96

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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.