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Finding the Fourth Proportional to 728.20, 1,003.93 and 479.43

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Solution

The fourth proportional to 728.20, 1,003.93 and 479.43 is: 660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.20 : 1,003.93 = 479.43 : x
  2. Step 2: Convert to fraction form
    728.20/1,003.93 = 479.43/x
  3. Step 3: Cross multiply
    728.20x = 1,003.93 × 479.43
  4. Step 4: Simplify right side
    728.20x = 481,314.16
  5. Step 5: Solve for x
    x = 481,314.16/728.20
  6. Step 6: Final answer
    x = 660.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.