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Finding the Fourth Proportional to 2,523.78, 3,785.87 and 880.29

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Solution

The fourth proportional to 2,523.78, 3,785.87 and 880.29 is: 1,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.78 : 3,785.87 = 880.29 : x
  2. Step 2: Convert to fraction form
    2,523.78/3,785.87 = 880.29/x
  3. Step 3: Cross multiply
    2,523.78x = 3,785.87 × 880.29
  4. Step 4: Simplify right side
    2,523.78x = 3,332,659.10
  5. Step 5: Solve for x
    x = 3,332,659.10/2,523.78
  6. Step 6: Final answer
    x = 1,320.50

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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.