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Finding the Fourth Proportional to 539.27, 743.97 and 382.13

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Solution

The fourth proportional to 539.27, 743.97 and 382.13 is: 527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.27 : 743.97 = 382.13 : x
  2. Step 2: Convert to fraction form
    539.27/743.97 = 382.13/x
  3. Step 3: Cross multiply
    539.27x = 743.97 × 382.13
  4. Step 4: Simplify right side
    539.27x = 284,293.26
  5. Step 5: Solve for x
    x = 284,293.26/539.27
  6. Step 6: Final answer
    x = 527.18

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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.