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Finding the Fourth Proportional to 826.31, 1,238.63 and 518.38

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Solution

The fourth proportional to 826.31, 1,238.63 and 518.38 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.31 : 1,238.63 = 518.38 : x
  2. Step 2: Convert to fraction form
    826.31/1,238.63 = 518.38/x
  3. Step 3: Cross multiply
    826.31x = 1,238.63 × 518.38
  4. Step 4: Simplify right side
    826.31x = 642,082.97
  5. Step 5: Solve for x
    x = 642,082.97/826.31
  6. Step 6: Final answer
    x = 777.04

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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.