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Finding the Fourth Proportional to 799.11, 1,196.22 and 738.36

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Solution

The fourth proportional to 799.11, 1,196.22 and 738.36 is: 1,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.11 : 1,196.22 = 738.36 : x
  2. Step 2: Convert to fraction form
    799.11/1,196.22 = 738.36/x
  3. Step 3: Cross multiply
    799.11x = 1,196.22 × 738.36
  4. Step 4: Simplify right side
    799.11x = 883,241.00
  5. Step 5: Solve for x
    x = 883,241.00/799.11
  6. Step 6: Final answer
    x = 1,105.28

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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.