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Finding the Fourth Proportional to 2,479.78, 3,719.30 and 724.32

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Solution

The fourth proportional to 2,479.78, 3,719.30 and 724.32 is: 1,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.78 : 3,719.30 = 724.32 : x
  2. Step 2: Convert to fraction form
    2,479.78/3,719.30 = 724.32/x
  3. Step 3: Cross multiply
    2,479.78x = 3,719.30 × 724.32
  4. Step 4: Simplify right side
    2,479.78x = 2,693,965.19
  5. Step 5: Solve for x
    x = 2,693,965.19/2,479.78
  6. Step 6: Final answer
    x = 1,086.37

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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.