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Finding the Fourth Proportional to 658.44, 908.34 and 434.61

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Solution

The fourth proportional to 658.44, 908.34 and 434.61 is: 599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.44 : 908.34 = 434.61 : x
  2. Step 2: Convert to fraction form
    658.44/908.34 = 434.61/x
  3. Step 3: Cross multiply
    658.44x = 908.34 × 434.61
  4. Step 4: Simplify right side
    658.44x = 394,772.02
  5. Step 5: Solve for x
    x = 394,772.02/658.44
  6. Step 6: Final answer
    x = 599.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.