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Finding the Fourth Proportional to 422.57, 634.31 and 374.12

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Solution

The fourth proportional to 422.57, 634.31 and 374.12 is: 561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.57 : 634.31 = 374.12 : x
  2. Step 2: Convert to fraction form
    422.57/634.31 = 374.12/x
  3. Step 3: Cross multiply
    422.57x = 634.31 × 374.12
  4. Step 4: Simplify right side
    422.57x = 237,310.36
  5. Step 5: Solve for x
    x = 237,310.36/422.57
  6. Step 6: Final answer
    x = 561.58

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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.