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Finding the Fourth Proportional to 728.28, 1,091.85 and 454.50

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Solution

The fourth proportional to 728.28, 1,091.85 and 454.50 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.28 : 1,091.85 = 454.50 : x
  2. Step 2: Convert to fraction form
    728.28/1,091.85 = 454.50/x
  3. Step 3: Cross multiply
    728.28x = 1,091.85 × 454.50
  4. Step 4: Simplify right side
    728.28x = 496,245.83
  5. Step 5: Solve for x
    x = 496,245.83/728.28
  6. Step 6: Final answer
    x = 681.39

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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.