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Finding the Fourth Proportional to 422.88, 634.68 and 314.88

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Solution

The fourth proportional to 422.88, 634.68 and 314.88 is: 472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 634.68 = 314.88 : x
  2. Step 2: Convert to fraction form
    422.88/634.68 = 314.88/x
  3. Step 3: Cross multiply
    422.88x = 634.68 × 314.88
  4. Step 4: Simplify right side
    422.88x = 199,848.04
  5. Step 5: Solve for x
    x = 199,848.04/422.88
  6. Step 6: Final answer
    x = 472.59

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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.