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Finding the Fourth Proportional to 789.38, 1,184.60 and 276.38

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Solution

The fourth proportional to 789.38, 1,184.60 and 276.38 is: 414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.38 : 1,184.60 = 276.38 : x
  2. Step 2: Convert to fraction form
    789.38/1,184.60 = 276.38/x
  3. Step 3: Cross multiply
    789.38x = 1,184.60 × 276.38
  4. Step 4: Simplify right side
    789.38x = 327,399.75
  5. Step 5: Solve for x
    x = 327,399.75/789.38
  6. Step 6: Final answer
    x = 414.76

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1.5x scale

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.