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Finding the Fourth Proportional to 788.75, 1,183.17 and 326.57

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Solution

The fourth proportional to 788.75, 1,183.17 and 326.57 is: 489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.75 : 1,183.17 = 326.57 : x
  2. Step 2: Convert to fraction form
    788.75/1,183.17 = 326.57/x
  3. Step 3: Cross multiply
    788.75x = 1,183.17 × 326.57
  4. Step 4: Simplify right side
    788.75x = 386,387.83
  5. Step 5: Solve for x
    x = 386,387.83/788.75
  6. Step 6: Final answer
    x = 489.87

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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.