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Finding the Fourth Proportional to 799.10, 1,198.23 and 359.97

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Solution

The fourth proportional to 799.10, 1,198.23 and 359.97 is: 539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.10 : 1,198.23 = 359.97 : x
  2. Step 2: Convert to fraction form
    799.10/1,198.23 = 359.97/x
  3. Step 3: Cross multiply
    799.10x = 1,198.23 × 359.97
  4. Step 4: Simplify right side
    799.10x = 431,321.01
  5. Step 5: Solve for x
    x = 431,321.01/799.10
  6. Step 6: Final answer
    x = 539.76

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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.