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Finding the Fourth Proportional to 658.37, 987.59 and 189.85

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Solution

The fourth proportional to 658.37, 987.59 and 189.85 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.37 : 987.59 = 189.85 : x
  2. Step 2: Convert to fraction form
    658.37/987.59 = 189.85/x
  3. Step 3: Cross multiply
    658.37x = 987.59 × 189.85
  4. Step 4: Simplify right side
    658.37x = 187,491.26
  5. Step 5: Solve for x
    x = 187,491.26/658.37
  6. Step 6: Final answer
    x = 284.78

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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.