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Finding the Fourth Proportional to 799.32, 1,198.50 and 311.80

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Solution

The fourth proportional to 799.32, 1,198.50 and 311.80 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.32 : 1,198.50 = 311.80 : x
  2. Step 2: Convert to fraction form
    799.32/1,198.50 = 311.80/x
  3. Step 3: Cross multiply
    799.32x = 1,198.50 × 311.80
  4. Step 4: Simplify right side
    799.32x = 373,689.30
  5. Step 5: Solve for x
    x = 373,689.30/799.32
  6. Step 6: Final answer
    x = 467.51

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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.