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Finding the Fourth Proportional to 789.06, 1,183.82 and 326.92

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Solution

The fourth proportional to 789.06, 1,183.82 and 326.92 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,183.82 = 326.92 : x
  2. Step 2: Convert to fraction form
    789.06/1,183.82 = 326.92/x
  3. Step 3: Cross multiply
    789.06x = 1,183.82 × 326.92
  4. Step 4: Simplify right side
    789.06x = 387,014.43
  5. Step 5: Solve for x
    x = 387,014.43/789.06
  6. Step 6: Final answer
    x = 490.48

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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.