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Finding the Fourth Proportional to 791.56, 1,188.42 and 426.52

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Solution

The fourth proportional to 791.56, 1,188.42 and 426.52 is: 640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.56 : 1,188.42 = 426.52 : x
  2. Step 2: Convert to fraction form
    791.56/1,188.42 = 426.52/x
  3. Step 3: Cross multiply
    791.56x = 1,188.42 × 426.52
  4. Step 4: Simplify right side
    791.56x = 506,884.90
  5. Step 5: Solve for x
    x = 506,884.90/791.56
  6. Step 6: Final answer
    x = 640.36

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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.