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Finding the Fourth Proportional to 826.10, 1,236.42 and 689.42

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Solution

The fourth proportional to 826.10, 1,236.42 and 689.42 is: 1,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.10 : 1,236.42 = 689.42 : x
  2. Step 2: Convert to fraction form
    826.10/1,236.42 = 689.42/x
  3. Step 3: Cross multiply
    826.10x = 1,236.42 × 689.42
  4. Step 4: Simplify right side
    826.10x = 852,412.68
  5. Step 5: Solve for x
    x = 852,412.68/826.10
  6. Step 6: Final answer
    x = 1,031.85

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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.