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Finding the Fourth Proportional to 799.39, 1,198.81 and 491.39

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Solution

The fourth proportional to 799.39, 1,198.81 and 491.39 is: 736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.39 : 1,198.81 = 491.39 : x
  2. Step 2: Convert to fraction form
    799.39/1,198.81 = 491.39/x
  3. Step 3: Cross multiply
    799.39x = 1,198.81 × 491.39
  4. Step 4: Simplify right side
    799.39x = 589,074.79
  5. Step 5: Solve for x
    x = 589,074.79/799.39
  6. Step 6: Final answer
    x = 736.91

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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.