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Finding the Fourth Proportional to 791.17, 1,085.81 and 744.80

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Solution

The fourth proportional to 791.17, 1,085.81 and 744.80 is: 1,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.17 : 1,085.81 = 744.80 : x
  2. Step 2: Convert to fraction form
    791.17/1,085.81 = 744.80/x
  3. Step 3: Cross multiply
    791.17x = 1,085.81 × 744.80
  4. Step 4: Simplify right side
    791.17x = 808,702.13
  5. Step 5: Solve for x
    x = 808,702.13/791.17
  6. Step 6: Final answer
    x = 1,022.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.