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Finding the Fourth Proportional to 511.12, 765.68 and 484.88

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Solution

The fourth proportional to 511.12, 765.68 and 484.88 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.12 : 765.68 = 484.88 : x
  2. Step 2: Convert to fraction form
    511.12/765.68 = 484.88/x
  3. Step 3: Cross multiply
    511.12x = 765.68 × 484.88
  4. Step 4: Simplify right side
    511.12x = 371,262.92
  5. Step 5: Solve for x
    x = 371,262.92/511.12
  6. Step 6: Final answer
    x = 726.37

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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.