Home / 2,231.32-3,345.90-769.96

Finding the Fourth Proportional to 2,231.32, 3,345.90 and 769.96

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Solution

The fourth proportional to 2,231.32, 3,345.90 and 769.96 is: 1,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.32 : 3,345.90 = 769.96 : x
  2. Step 2: Convert to fraction form
    2,231.32/3,345.90 = 769.96/x
  3. Step 3: Cross multiply
    2,231.32x = 3,345.90 × 769.96
  4. Step 4: Simplify right side
    2,231.32x = 2,576,209.16
  5. Step 5: Solve for x
    x = 2,576,209.16/2,231.32
  6. Step 6: Final answer
    x = 1,154.57

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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.