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Finding the Fourth Proportional to 513.96, 767.42 and 422.82

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Solution

The fourth proportional to 513.96, 767.42 and 422.82 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.96 : 767.42 = 422.82 : x
  2. Step 2: Convert to fraction form
    513.96/767.42 = 422.82/x
  3. Step 3: Cross multiply
    513.96x = 767.42 × 422.82
  4. Step 4: Simplify right side
    513.96x = 324,478.41
  5. Step 5: Solve for x
    x = 324,478.41/513.96
  6. Step 6: Final answer
    x = 631.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.