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Finding the Fourth Proportional to 789.21, 1,183.79 and 326.48

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Solution

The fourth proportional to 789.21, 1,183.79 and 326.48 is: 489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.21 : 1,183.79 = 326.48 : x
  2. Step 2: Convert to fraction form
    789.21/1,183.79 = 326.48/x
  3. Step 3: Cross multiply
    789.21x = 1,183.79 × 326.48
  4. Step 4: Simplify right side
    789.21x = 386,478.66
  5. Step 5: Solve for x
    x = 386,478.66/789.21
  6. Step 6: Final answer
    x = 489.70

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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.