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Finding the Fourth Proportional to 799.50, 1,198.12 and 447.78

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Solution

The fourth proportional to 799.50, 1,198.12 and 447.78 is: 671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.50 : 1,198.12 = 447.78 : x
  2. Step 2: Convert to fraction form
    799.50/1,198.12 = 447.78/x
  3. Step 3: Cross multiply
    799.50x = 1,198.12 × 447.78
  4. Step 4: Simplify right side
    799.50x = 536,494.17
  5. Step 5: Solve for x
    x = 536,494.17/799.50
  6. Step 6: Final answer
    x = 671.04

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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.