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Finding the Fourth Proportional to 799.47, 1,198.73 and 279.38

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Solution

The fourth proportional to 799.47, 1,198.73 and 279.38 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.47 : 1,198.73 = 279.38 : x
  2. Step 2: Convert to fraction form
    799.47/1,198.73 = 279.38/x
  3. Step 3: Cross multiply
    799.47x = 1,198.73 × 279.38
  4. Step 4: Simplify right side
    799.47x = 334,904.88
  5. Step 5: Solve for x
    x = 334,904.88/799.47
  6. Step 6: Final answer
    x = 418.91

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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.