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Finding the Fourth Proportional to 799.05, 1,198.48 and 311.77

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Solution

The fourth proportional to 799.05, 1,198.48 and 311.77 is: 467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.05 : 1,198.48 = 311.77 : x
  2. Step 2: Convert to fraction form
    799.05/1,198.48 = 311.77/x
  3. Step 3: Cross multiply
    799.05x = 1,198.48 × 311.77
  4. Step 4: Simplify right side
    799.05x = 373,650.11
  5. Step 5: Solve for x
    x = 373,650.11/799.05
  6. Step 6: Final answer
    x = 467.62

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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.