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Finding the Fourth Proportional to 531.59, 732.92 and 356.63

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Solution

The fourth proportional to 531.59, 732.92 and 356.63 is: 491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.59 : 732.92 = 356.63 : x
  2. Step 2: Convert to fraction form
    531.59/732.92 = 356.63/x
  3. Step 3: Cross multiply
    531.59x = 732.92 × 356.63
  4. Step 4: Simplify right side
    531.59x = 261,375.81
  5. Step 5: Solve for x
    x = 261,375.81/531.59
  6. Step 6: Final answer
    x = 491.69

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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.