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Finding the Fourth Proportional to 804.07, 1,110.23 and 791.29

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Solution

The fourth proportional to 804.07, 1,110.23 and 791.29 is: 1,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.07 : 1,110.23 = 791.29 : x
  2. Step 2: Convert to fraction form
    804.07/1,110.23 = 791.29/x
  3. Step 3: Cross multiply
    804.07x = 1,110.23 × 791.29
  4. Step 4: Simplify right side
    804.07x = 878,513.90
  5. Step 5: Solve for x
    x = 878,513.90/804.07
  6. Step 6: Final answer
    x = 1,092.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.