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Finding the Fourth Proportional to 658.59, 987.88 and 171.67

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Solution

The fourth proportional to 658.59, 987.88 and 171.67 is: 257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.59 : 987.88 = 171.67 : x
  2. Step 2: Convert to fraction form
    658.59/987.88 = 171.67/x
  3. Step 3: Cross multiply
    658.59x = 987.88 × 171.67
  4. Step 4: Simplify right side
    658.59x = 169,589.36
  5. Step 5: Solve for x
    x = 169,589.36/658.59
  6. Step 6: Final answer
    x = 257.50

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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.