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Finding the Fourth Proportional to 422.11, 632.25 and 411.78

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Solution

The fourth proportional to 422.11, 632.25 and 411.78 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.11 : 632.25 = 411.78 : x
  2. Step 2: Convert to fraction form
    422.11/632.25 = 411.78/x
  3. Step 3: Cross multiply
    422.11x = 632.25 × 411.78
  4. Step 4: Simplify right side
    422.11x = 260,345.85
  5. Step 5: Solve for x
    x = 260,345.85/422.11
  6. Step 6: Final answer
    x = 616.78

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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.