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Finding the Fourth Proportional to 422.92, 634.20 and 300.79

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Solution

The fourth proportional to 422.92, 634.20 and 300.79 is: 451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 634.20 = 300.79 : x
  2. Step 2: Convert to fraction form
    422.92/634.20 = 300.79/x
  3. Step 3: Cross multiply
    422.92x = 634.20 × 300.79
  4. Step 4: Simplify right side
    422.92x = 190,761.02
  5. Step 5: Solve for x
    x = 190,761.02/422.92
  6. Step 6: Final answer
    x = 451.06

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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.