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Finding the Fourth Proportional to 806.39, 1,105.57 and 791.81

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Solution

The fourth proportional to 806.39, 1,105.57 and 791.81 is: 1,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.39 : 1,105.57 = 791.81 : x
  2. Step 2: Convert to fraction form
    806.39/1,105.57 = 791.81/x
  3. Step 3: Cross multiply
    806.39x = 1,105.57 × 791.81
  4. Step 4: Simplify right side
    806.39x = 875,393.87
  5. Step 5: Solve for x
    x = 875,393.87/806.39
  6. Step 6: Final answer
    x = 1,085.58

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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.