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Finding the Fourth Proportional to 826.96, 1,230.68 and 799.96

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Solution

The fourth proportional to 826.96, 1,230.68 and 799.96 is: 1,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.96 : 1,230.68 = 799.96 : x
  2. Step 2: Convert to fraction form
    826.96/1,230.68 = 799.96/x
  3. Step 3: Cross multiply
    826.96x = 1,230.68 × 799.96
  4. Step 4: Simplify right side
    826.96x = 984,494.77
  5. Step 5: Solve for x
    x = 984,494.77/826.96
  6. Step 6: Final answer
    x = 1,190.50

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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.