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Finding the Fourth Proportional to 2,325.78, 3,489.17 and 682.20

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Solution

The fourth proportional to 2,325.78, 3,489.17 and 682.20 is: 1,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.78 : 3,489.17 = 682.20 : x
  2. Step 2: Convert to fraction form
    2,325.78/3,489.17 = 682.20/x
  3. Step 3: Cross multiply
    2,325.78x = 3,489.17 × 682.20
  4. Step 4: Simplify right side
    2,325.78x = 2,380,308.36
  5. Step 5: Solve for x
    x = 2,380,308.36/2,325.78
  6. Step 6: Final answer
    x = 1,023.45

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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.