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Finding the Fourth Proportional to 791.92, 1,182.31 and 714.16

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Solution

The fourth proportional to 791.92, 1,182.31 and 714.16 is: 1,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.92 : 1,182.31 = 714.16 : x
  2. Step 2: Convert to fraction form
    791.92/1,182.31 = 714.16/x
  3. Step 3: Cross multiply
    791.92x = 1,182.31 × 714.16
  4. Step 4: Simplify right side
    791.92x = 844,352.60
  5. Step 5: Solve for x
    x = 844,352.60/791.92
  6. Step 6: Final answer
    x = 1,066.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.