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Finding the Fourth Proportional to 826.32, 1,233.07 and 738.68

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Solution

The fourth proportional to 826.32, 1,233.07 and 738.68 is: 1,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.32 : 1,233.07 = 738.68 : x
  2. Step 2: Convert to fraction form
    826.32/1,233.07 = 738.68/x
  3. Step 3: Cross multiply
    826.32x = 1,233.07 × 738.68
  4. Step 4: Simplify right side
    826.32x = 910,844.15
  5. Step 5: Solve for x
    x = 910,844.15/826.32
  6. Step 6: Final answer
    x = 1,102.29

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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.