Home / 1,222.24-1,832.55-789.16

Finding the Fourth Proportional to 1,222.24, 1,832.55 and 789.16

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Solution

The fourth proportional to 1,222.24, 1,832.55 and 789.16 is: 1,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.24 : 1,832.55 = 789.16 : x
  2. Step 2: Convert to fraction form
    1,222.24/1,832.55 = 789.16/x
  3. Step 3: Cross multiply
    1,222.24x = 1,832.55 × 789.16
  4. Step 4: Simplify right side
    1,222.24x = 1,446,175.16
  5. Step 5: Solve for x
    x = 1,446,175.16/1,222.24
  6. Step 6: Final answer
    x = 1,183.22

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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.