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Finding the Fourth Proportional to 908.62, 1,363.36 and 422

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Solution

The fourth proportional to 908.62, 1,363.36 and 422 is: 633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.62 : 1,363.36 = 422 : x
  2. Step 2: Convert to fraction form
    908.62/1,363.36 = 422/x
  3. Step 3: Cross multiply
    908.62x = 1,363.36 × 422
  4. Step 4: Simplify right side
    908.62x = 575,337.92
  5. Step 5: Solve for x
    x = 575,337.92/908.62
  6. Step 6: Final answer
    x = 633.20

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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.