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Finding the Fourth Proportional to 511.88, 765.47 and 381.97

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Solution

The fourth proportional to 511.88, 765.47 and 381.97 is: 571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 765.47 = 381.97 : x
  2. Step 2: Convert to fraction form
    511.88/765.47 = 381.97/x
  3. Step 3: Cross multiply
    511.88x = 765.47 × 381.97
  4. Step 4: Simplify right side
    511.88x = 292,385.62
  5. Step 5: Solve for x
    x = 292,385.62/511.88
  6. Step 6: Final answer
    x = 571.21

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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.