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Finding the Fourth Proportional to 791.12, 1,180.92 and 734.12

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Solution

The fourth proportional to 791.12, 1,180.92 and 734.12 is: 1,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.12 : 1,180.92 = 734.12 : x
  2. Step 2: Convert to fraction form
    791.12/1,180.92 = 734.12/x
  3. Step 3: Cross multiply
    791.12x = 1,180.92 × 734.12
  4. Step 4: Simplify right side
    791.12x = 866,936.99
  5. Step 5: Solve for x
    x = 866,936.99/791.12
  6. Step 6: Final answer
    x = 1,095.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.