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Finding the Fourth Proportional to 728.83, 1,091.09 and 481.57

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Solution

The fourth proportional to 728.83, 1,091.09 and 481.57 is: 720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.83 : 1,091.09 = 481.57 : x
  2. Step 2: Convert to fraction form
    728.83/1,091.09 = 481.57/x
  3. Step 3: Cross multiply
    728.83x = 1,091.09 × 481.57
  4. Step 4: Simplify right side
    728.83x = 525,436.21
  5. Step 5: Solve for x
    x = 525,436.21/728.83
  6. Step 6: Final answer
    x = 720.93

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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.