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Finding the Fourth Proportional to 789.36, 1,180.80 and 658.14

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Solution

The fourth proportional to 789.36, 1,180.80 and 658.14 is: 984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.36 : 1,180.80 = 658.14 : x
  2. Step 2: Convert to fraction form
    789.36/1,180.80 = 658.14/x
  3. Step 3: Cross multiply
    789.36x = 1,180.80 × 658.14
  4. Step 4: Simplify right side
    789.36x = 777,135.78
  5. Step 5: Solve for x
    x = 777,135.78/789.36
  6. Step 6: Final answer
    x = 984.51

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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.