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Finding the Fourth Proportional to 422.57, 634.01 and 301.78

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Solution

The fourth proportional to 422.57, 634.01 and 301.78 is: 452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.57 : 634.01 = 301.78 : x
  2. Step 2: Convert to fraction form
    422.57/634.01 = 301.78/x
  3. Step 3: Cross multiply
    422.57x = 634.01 × 301.78
  4. Step 4: Simplify right side
    422.57x = 191,328.44
  5. Step 5: Solve for x
    x = 191,328.44/422.57
  6. Step 6: Final answer
    x = 452.77

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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.