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Finding the Fourth Proportional to 826.20, 1,234.04 and 748

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Solution

The fourth proportional to 826.20, 1,234.04 and 748 is: 1,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.20 : 1,234.04 = 748 : x
  2. Step 2: Convert to fraction form
    826.20/1,234.04 = 748/x
  3. Step 3: Cross multiply
    826.20x = 1,234.04 × 748
  4. Step 4: Simplify right side
    826.20x = 923,061.92
  5. Step 5: Solve for x
    x = 923,061.92/826.20
  6. Step 6: Final answer
    x = 1,117.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.