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Finding the Fourth Proportional to 878.85, 1,324.32 and 728.19

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Solution

The fourth proportional to 878.85, 1,324.32 and 728.19 is: 1,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.85 : 1,324.32 = 728.19 : x
  2. Step 2: Convert to fraction form
    878.85/1,324.32 = 728.19/x
  3. Step 3: Cross multiply
    878.85x = 1,324.32 × 728.19
  4. Step 4: Simplify right side
    878.85x = 964,356.58
  5. Step 5: Solve for x
    x = 964,356.58/878.85
  6. Step 6: Final answer
    x = 1,097.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.