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Finding the Fourth Proportional to 658.07, 908.34 and 422.05

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Solution

The fourth proportional to 658.07, 908.34 and 422.05 is: 582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.07 : 908.34 = 422.05 : x
  2. Step 2: Convert to fraction form
    658.07/908.34 = 422.05/x
  3. Step 3: Cross multiply
    658.07x = 908.34 × 422.05
  4. Step 4: Simplify right side
    658.07x = 383,364.45
  5. Step 5: Solve for x
    x = 383,364.45/658.07
  6. Step 6: Final answer
    x = 582.56

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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.