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Finding the Fourth Proportional to 512.35, 766.17 and 382.43

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Solution

The fourth proportional to 512.35, 766.17 and 382.43 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.35 : 766.17 = 382.43 : x
  2. Step 2: Convert to fraction form
    512.35/766.17 = 382.43/x
  3. Step 3: Cross multiply
    512.35x = 766.17 × 382.43
  4. Step 4: Simplify right side
    512.35x = 293,008.31
  5. Step 5: Solve for x
    x = 293,008.31/512.35
  6. Step 6: Final answer
    x = 571.89

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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.