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Finding the Fourth Proportional to 778.20, 1,166.08 and 489.03

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Solution

The fourth proportional to 778.20, 1,166.08 and 489.03 is: 732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.20 : 1,166.08 = 489.03 : x
  2. Step 2: Convert to fraction form
    778.20/1,166.08 = 489.03/x
  3. Step 3: Cross multiply
    778.20x = 1,166.08 × 489.03
  4. Step 4: Simplify right side
    778.20x = 570,247.56
  5. Step 5: Solve for x
    x = 570,247.56/778.20
  6. Step 6: Final answer
    x = 732.78

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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.