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Finding the Fourth Proportional to 799.50, 1,198.77 and 311.98

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Solution

The fourth proportional to 799.50, 1,198.77 and 311.98 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.50 : 1,198.77 = 311.98 : x
  2. Step 2: Convert to fraction form
    799.50/1,198.77 = 311.98/x
  3. Step 3: Cross multiply
    799.50x = 1,198.77 × 311.98
  4. Step 4: Simplify right side
    799.50x = 373,992.26
  5. Step 5: Solve for x
    x = 373,992.26/799.50
  6. Step 6: Final answer
    x = 467.78

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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.