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Finding the Fourth Proportional to 789.67, 1,183.19 and 480.59

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Solution

The fourth proportional to 789.67, 1,183.19 and 480.59 is: 720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.67 : 1,183.19 = 480.59 : x
  2. Step 2: Convert to fraction form
    789.67/1,183.19 = 480.59/x
  3. Step 3: Cross multiply
    789.67x = 1,183.19 × 480.59
  4. Step 4: Simplify right side
    789.67x = 568,624.57
  5. Step 5: Solve for x
    x = 568,624.57/789.67
  6. Step 6: Final answer
    x = 720.08

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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.