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Finding the Fourth Proportional to 658.32, 987.47 and 171.33

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Solution

The fourth proportional to 658.32, 987.47 and 171.33 is: 256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.32 : 987.47 = 171.33 : x
  2. Step 2: Convert to fraction form
    658.32/987.47 = 171.33/x
  3. Step 3: Cross multiply
    658.32x = 987.47 × 171.33
  4. Step 4: Simplify right side
    658.32x = 169,183.24
  5. Step 5: Solve for x
    x = 169,183.24/658.32
  6. Step 6: Final answer
    x = 256.99

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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.