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Finding the Fourth Proportional to 796.82, 1,195.28 and 269.81

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Solution

The fourth proportional to 796.82, 1,195.28 and 269.81 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,195.28 = 269.81 : x
  2. Step 2: Convert to fraction form
    796.82/1,195.28 = 269.81/x
  3. Step 3: Cross multiply
    796.82x = 1,195.28 × 269.81
  4. Step 4: Simplify right side
    796.82x = 322,496.67
  5. Step 5: Solve for x
    x = 322,496.67/796.82
  6. Step 6: Final answer
    x = 404.73

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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.