Home / 1,610.46-2,416.32-789.12

Finding the Fourth Proportional to 1,610.46, 2,416.32 and 789.12

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Solution

The fourth proportional to 1,610.46, 2,416.32 and 789.12 is: 1,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.46 : 2,416.32 = 789.12 : x
  2. Step 2: Convert to fraction form
    1,610.46/2,416.32 = 789.12/x
  3. Step 3: Cross multiply
    1,610.46x = 2,416.32 × 789.12
  4. Step 4: Simplify right side
    1,610.46x = 1,906,766.44
  5. Step 5: Solve for x
    x = 1,906,766.44/1,610.46
  6. Step 6: Final answer
    x = 1,183.99

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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.