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Finding the Fourth Proportional to 826.49, 1,233.85 and 797.67

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Solution

The fourth proportional to 826.49, 1,233.85 and 797.67 is: 1,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.49 : 1,233.85 = 797.67 : x
  2. Step 2: Convert to fraction form
    826.49/1,233.85 = 797.67/x
  3. Step 3: Cross multiply
    826.49x = 1,233.85 × 797.67
  4. Step 4: Simplify right side
    826.49x = 984,203.14
  5. Step 5: Solve for x
    x = 984,203.14/826.49
  6. Step 6: Final answer
    x = 1,190.82

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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.