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Finding the Fourth Proportional to 422.49, 630.53 and 411.55

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Solution

The fourth proportional to 422.49, 630.53 and 411.55 is: 614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.49 : 630.53 = 411.55 : x
  2. Step 2: Convert to fraction form
    422.49/630.53 = 411.55/x
  3. Step 3: Cross multiply
    422.49x = 630.53 × 411.55
  4. Step 4: Simplify right side
    422.49x = 259,494.62
  5. Step 5: Solve for x
    x = 259,494.62/422.49
  6. Step 6: Final answer
    x = 614.20

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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.