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Finding the Fourth Proportional to 539.77, 743.84 and 392.17

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Solution

The fourth proportional to 539.77, 743.84 and 392.17 is: 540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.77 : 743.84 = 392.17 : x
  2. Step 2: Convert to fraction form
    539.77/743.84 = 392.17/x
  3. Step 3: Cross multiply
    539.77x = 743.84 × 392.17
  4. Step 4: Simplify right side
    539.77x = 291,709.38
  5. Step 5: Solve for x
    x = 291,709.38/539.77
  6. Step 6: Final answer
    x = 540.44

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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.