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Finding the Fourth Proportional to 799.14, 1,198.31 and 539.54

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Solution

The fourth proportional to 799.14, 1,198.31 and 539.54 is: 809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.14 : 1,198.31 = 539.54 : x
  2. Step 2: Convert to fraction form
    799.14/1,198.31 = 539.54/x
  3. Step 3: Cross multiply
    799.14x = 1,198.31 × 539.54
  4. Step 4: Simplify right side
    799.14x = 646,527.49
  5. Step 5: Solve for x
    x = 646,527.49/799.14
  6. Step 6: Final answer
    x = 809.03

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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.