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Finding the Fourth Proportional to 728.44, 1,091.68 and 363.13

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Solution

The fourth proportional to 728.44, 1,091.68 and 363.13 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.44 : 1,091.68 = 363.13 : x
  2. Step 2: Convert to fraction form
    728.44/1,091.68 = 363.13/x
  3. Step 3: Cross multiply
    728.44x = 1,091.68 × 363.13
  4. Step 4: Simplify right side
    728.44x = 396,421.76
  5. Step 5: Solve for x
    x = 396,421.76/728.44
  6. Step 6: Final answer
    x = 544.21

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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.