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Finding the Fourth Proportional to 1,550.78, 2,324.54 and 728.40

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Solution

The fourth proportional to 1,550.78, 2,324.54 and 728.40 is: 1,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.78 : 2,324.54 = 728.40 : x
  2. Step 2: Convert to fraction form
    1,550.78/2,324.54 = 728.40/x
  3. Step 3: Cross multiply
    1,550.78x = 2,324.54 × 728.40
  4. Step 4: Simplify right side
    1,550.78x = 1,693,194.94
  5. Step 5: Solve for x
    x = 1,693,194.94/1,550.78
  6. Step 6: Final answer
    x = 1,091.83

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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.