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Finding the Fourth Proportional to 422.75, 635.15 and 399.44

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Solution

The fourth proportional to 422.75, 635.15 and 399.44 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 635.15 = 399.44 : x
  2. Step 2: Convert to fraction form
    422.75/635.15 = 399.44/x
  3. Step 3: Cross multiply
    422.75x = 635.15 × 399.44
  4. Step 4: Simplify right side
    422.75x = 253,699.14
  5. Step 5: Solve for x
    x = 253,699.14/422.75
  6. Step 6: Final answer
    x = 600.12

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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.