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Finding the Fourth Proportional to 2,479.90, 3,719.28 and 724.54

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Solution

The fourth proportional to 2,479.90, 3,719.28 and 724.54 is: 1,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.90 : 3,719.28 = 724.54 : x
  2. Step 2: Convert to fraction form
    2,479.90/3,719.28 = 724.54/x
  3. Step 3: Cross multiply
    2,479.90x = 3,719.28 × 724.54
  4. Step 4: Simplify right side
    2,479.90x = 2,694,767.13
  5. Step 5: Solve for x
    x = 2,694,767.13/2,479.90
  6. Step 6: Final answer
    x = 1,086.64

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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.