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Finding the Fourth Proportional to 531.27, 732.57 and 447.23

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Solution

The fourth proportional to 531.27, 732.57 and 447.23 is: 616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.27 : 732.57 = 447.23 : x
  2. Step 2: Convert to fraction form
    531.27/732.57 = 447.23/x
  3. Step 3: Cross multiply
    531.27x = 732.57 × 447.23
  4. Step 4: Simplify right side
    531.27x = 327,623.62
  5. Step 5: Solve for x
    x = 327,623.62/531.27
  6. Step 6: Final answer
    x = 616.69

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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.