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Finding the Fourth Proportional to 658.48, 987.64 and 171.57

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Solution

The fourth proportional to 658.48, 987.64 and 171.57 is: 257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.48 : 987.64 = 171.57 : x
  2. Step 2: Convert to fraction form
    658.48/987.64 = 171.57/x
  3. Step 3: Cross multiply
    658.48x = 987.64 × 171.57
  4. Step 4: Simplify right side
    658.48x = 169,448.08
  5. Step 5: Solve for x
    x = 169,448.08/658.48
  6. Step 6: Final answer
    x = 257.33

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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.