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Finding the Fourth Proportional to 422.62, 636.46 and 371.82

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Solution

The fourth proportional to 422.62, 636.46 and 371.82 is: 559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 636.46 = 371.82 : x
  2. Step 2: Convert to fraction form
    422.62/636.46 = 371.82/x
  3. Step 3: Cross multiply
    422.62x = 636.46 × 371.82
  4. Step 4: Simplify right side
    422.62x = 236,644.64
  5. Step 5: Solve for x
    x = 236,644.64/422.62
  6. Step 6: Final answer
    x = 559.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.