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Finding the Fourth Proportional to 791.72, 1,185.64 and 675.48

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Solution

The fourth proportional to 791.72, 1,185.64 and 675.48 is: 1,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.72 : 1,185.64 = 675.48 : x
  2. Step 2: Convert to fraction form
    791.72/1,185.64 = 675.48/x
  3. Step 3: Cross multiply
    791.72x = 1,185.64 × 675.48
  4. Step 4: Simplify right side
    791.72x = 800,876.11
  5. Step 5: Solve for x
    x = 800,876.11/791.72
  6. Step 6: Final answer
    x = 1,011.56

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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.