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Finding the Fourth Proportional to 1,185.23, 1,634.77 and 791.57

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Solution

The fourth proportional to 1,185.23, 1,634.77 and 791.57 is: 1,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.23 : 1,634.77 = 791.57 : x
  2. Step 2: Convert to fraction form
    1,185.23/1,634.77 = 791.57/x
  3. Step 3: Cross multiply
    1,185.23x = 1,634.77 × 791.57
  4. Step 4: Simplify right side
    1,185.23x = 1,294,034.89
  5. Step 5: Solve for x
    x = 1,294,034.89/1,185.23
  6. Step 6: Final answer
    x = 1,091.80

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