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Finding the Fourth Proportional to 799.39, 1,198.86 and 312.33

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Solution

The fourth proportional to 799.39, 1,198.86 and 312.33 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.39 : 1,198.86 = 312.33 : x
  2. Step 2: Convert to fraction form
    799.39/1,198.86 = 312.33/x
  3. Step 3: Cross multiply
    799.39x = 1,198.86 × 312.33
  4. Step 4: Simplify right side
    799.39x = 374,443.27
  5. Step 5: Solve for x
    x = 374,443.27/799.39
  6. Step 6: Final answer
    x = 468.41

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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.