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Finding the Fourth Proportional to 791.67, 1,186.25 and 723.27

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Solution

The fourth proportional to 791.67, 1,186.25 and 723.27 is: 1,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.67 : 1,186.25 = 723.27 : x
  2. Step 2: Convert to fraction form
    791.67/1,186.25 = 723.27/x
  3. Step 3: Cross multiply
    791.67x = 1,186.25 × 723.27
  4. Step 4: Simplify right side
    791.67x = 857,975.42
  5. Step 5: Solve for x
    x = 857,975.42/791.67
  6. Step 6: Final answer
    x = 1,083.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.