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Finding the Fourth Proportional to 511.59, 768.44 and 497.92

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Solution

The fourth proportional to 511.59, 768.44 and 497.92 is: 747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.59 : 768.44 = 497.92 : x
  2. Step 2: Convert to fraction form
    511.59/768.44 = 497.92/x
  3. Step 3: Cross multiply
    511.59x = 768.44 × 497.92
  4. Step 4: Simplify right side
    511.59x = 382,620.97
  5. Step 5: Solve for x
    x = 382,620.97/511.59
  6. Step 6: Final answer
    x = 747.91

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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.