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Finding the Fourth Proportional to 658.60, 908.98 and 422.48

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Solution

The fourth proportional to 658.60, 908.98 and 422.48 is: 583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.60 : 908.98 = 422.48 : x
  2. Step 2: Convert to fraction form
    658.60/908.98 = 422.48/x
  3. Step 3: Cross multiply
    658.60x = 908.98 × 422.48
  4. Step 4: Simplify right side
    658.60x = 384,027.09
  5. Step 5: Solve for x
    x = 384,027.09/658.60
  6. Step 6: Final answer
    x = 583.10

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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.