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Finding the Fourth Proportional to 799.25, 1,197.43 and 669.11

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Solution

The fourth proportional to 799.25, 1,197.43 and 669.11 is: 1,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.25 : 1,197.43 = 669.11 : x
  2. Step 2: Convert to fraction form
    799.25/1,197.43 = 669.11/x
  3. Step 3: Cross multiply
    799.25x = 1,197.43 × 669.11
  4. Step 4: Simplify right side
    799.25x = 801,204.73
  5. Step 5: Solve for x
    x = 801,204.73/799.25
  6. Step 6: Final answer
    x = 1,002.45

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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.