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Finding the Fourth Proportional to 789.50, 1,184.22 and 327.15

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Solution

The fourth proportional to 789.50, 1,184.22 and 327.15 is: 490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.50 : 1,184.22 = 327.15 : x
  2. Step 2: Convert to fraction form
    789.50/1,184.22 = 327.15/x
  3. Step 3: Cross multiply
    789.50x = 1,184.22 × 327.15
  4. Step 4: Simplify right side
    789.50x = 387,417.57
  5. Step 5: Solve for x
    x = 387,417.57/789.50
  6. Step 6: Final answer
    x = 490.71

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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.