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Finding the Fourth Proportional to 658.17, 987.24 and 171.22

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Solution

The fourth proportional to 658.17, 987.24 and 171.22 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.17 : 987.24 = 171.22 : x
  2. Step 2: Convert to fraction form
    658.17/987.24 = 171.22/x
  3. Step 3: Cross multiply
    658.17x = 987.24 × 171.22
  4. Step 4: Simplify right side
    658.17x = 169,035.23
  5. Step 5: Solve for x
    x = 169,035.23/658.17
  6. Step 6: Final answer
    x = 256.83

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