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Finding the Fourth Proportional to 799.35, 1,198.11 and 337.05

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Solution

The fourth proportional to 799.35, 1,198.11 and 337.05 is: 505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.35 : 1,198.11 = 337.05 : x
  2. Step 2: Convert to fraction form
    799.35/1,198.11 = 337.05/x
  3. Step 3: Cross multiply
    799.35x = 1,198.11 × 337.05
  4. Step 4: Simplify right side
    799.35x = 403,822.98
  5. Step 5: Solve for x
    x = 403,822.98/799.35
  6. Step 6: Final answer
    x = 505.19

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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.