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Finding the Fourth Proportional to 1,165, 1,743.78 and 797.92

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Solution

The fourth proportional to 1,165, 1,743.78 and 797.92 is: 1,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165 : 1,743.78 = 797.92 : x
  2. Step 2: Convert to fraction form
    1,165/1,743.78 = 797.92/x
  3. Step 3: Cross multiply
    1,165x = 1,743.78 × 797.92
  4. Step 4: Simplify right side
    1,165x = 1,391,396.94
  5. Step 5: Solve for x
    x = 1,391,396.94/1,165
  6. Step 6: Final answer
    x = 1,194.33

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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.