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Finding the Fourth Proportional to 424.70, 634.19 and 422.14

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Solution

The fourth proportional to 424.70, 634.19 and 422.14 is: 630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.70 : 634.19 = 422.14 : x
  2. Step 2: Convert to fraction form
    424.70/634.19 = 422.14/x
  3. Step 3: Cross multiply
    424.70x = 634.19 × 422.14
  4. Step 4: Simplify right side
    424.70x = 267,713.27
  5. Step 5: Solve for x
    x = 267,713.27/424.70
  6. Step 6: Final answer
    x = 630.35

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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.