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Finding the Fourth Proportional to 617.17, 924.71 and 539.27

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Solution

The fourth proportional to 617.17, 924.71 and 539.27 is: 807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.17 : 924.71 = 539.27 : x
  2. Step 2: Convert to fraction form
    617.17/924.71 = 539.27/x
  3. Step 3: Cross multiply
    617.17x = 924.71 × 539.27
  4. Step 4: Simplify right side
    617.17x = 498,667.98
  5. Step 5: Solve for x
    x = 498,667.98/617.17
  6. Step 6: Final answer
    x = 807.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.