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Finding the Fourth Proportional to 422.78, 630.32 and 412.11

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Solution

The fourth proportional to 422.78, 630.32 and 412.11 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 630.32 = 412.11 : x
  2. Step 2: Convert to fraction form
    422.78/630.32 = 412.11/x
  3. Step 3: Cross multiply
    422.78x = 630.32 × 412.11
  4. Step 4: Simplify right side
    422.78x = 259,759.11
  5. Step 5: Solve for x
    x = 259,759.11/422.78
  6. Step 6: Final answer
    x = 614.41

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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.