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Finding the Fourth Proportional to 878.87, 1,324.34 and 728.18

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Solution

The fourth proportional to 878.87, 1,324.34 and 728.18 is: 1,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.87 : 1,324.34 = 728.18 : x
  2. Step 2: Convert to fraction form
    878.87/1,324.34 = 728.18/x
  3. Step 3: Cross multiply
    878.87x = 1,324.34 × 728.18
  4. Step 4: Simplify right side
    878.87x = 964,347.64
  5. Step 5: Solve for x
    x = 964,347.64/878.87
  6. Step 6: Final answer
    x = 1,097.26

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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.