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Finding the Fourth Proportional to 658.86, 984.29 and 425.85

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Solution

The fourth proportional to 658.86, 984.29 and 425.85 is: 636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.86 : 984.29 = 425.85 : x
  2. Step 2: Convert to fraction form
    658.86/984.29 = 425.85/x
  3. Step 3: Cross multiply
    658.86x = 984.29 × 425.85
  4. Step 4: Simplify right side
    658.86x = 419,157.77
  5. Step 5: Solve for x
    x = 419,157.77/658.86
  6. Step 6: Final answer
    x = 636.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.