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Finding the Fourth Proportional to 728.20, 1,093.90 and 512.20

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Solution

The fourth proportional to 728.20, 1,093.90 and 512.20 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.20 : 1,093.90 = 512.20 : x
  2. Step 2: Convert to fraction form
    728.20/1,093.90 = 512.20/x
  3. Step 3: Cross multiply
    728.20x = 1,093.90 × 512.20
  4. Step 4: Simplify right side
    728.20x = 560,295.58
  5. Step 5: Solve for x
    x = 560,295.58/728.20
  6. Step 6: Final answer
    x = 769.43

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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.