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Finding the Fourth Proportional to 2,238.31, 3,354.99 and 850.78

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Solution

The fourth proportional to 2,238.31, 3,354.99 and 850.78 is: 1,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.31 : 3,354.99 = 850.78 : x
  2. Step 2: Convert to fraction form
    2,238.31/3,354.99 = 850.78/x
  3. Step 3: Cross multiply
    2,238.31x = 3,354.99 × 850.78
  4. Step 4: Simplify right side
    2,238.31x = 2,854,358.39
  5. Step 5: Solve for x
    x = 2,854,358.39/2,238.31
  6. Step 6: Final answer
    x = 1,275.23

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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.