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Finding the Fourth Proportional to 791.42, 1,187.62 and 688.54

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Solution

The fourth proportional to 791.42, 1,187.62 and 688.54 is: 1,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.42 : 1,187.62 = 688.54 : x
  2. Step 2: Convert to fraction form
    791.42/1,187.62 = 688.54/x
  3. Step 3: Cross multiply
    791.42x = 1,187.62 × 688.54
  4. Step 4: Simplify right side
    791.42x = 817,723.87
  5. Step 5: Solve for x
    x = 817,723.87/791.42
  6. Step 6: Final answer
    x = 1,033.24

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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.