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Finding the Fourth Proportional to 422.61, 630.71 and 411.68

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Solution

The fourth proportional to 422.61, 630.71 and 411.68 is: 614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.61 : 630.71 = 411.68 : x
  2. Step 2: Convert to fraction form
    422.61/630.71 = 411.68/x
  3. Step 3: Cross multiply
    422.61x = 630.71 × 411.68
  4. Step 4: Simplify right side
    422.61x = 259,647.02
  5. Step 5: Solve for x
    x = 259,647.02/422.61
  6. Step 6: Final answer
    x = 614.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.