Home / 2,288.40-3,431.16-806.81

Finding the Fourth Proportional to 2,288.40, 3,431.16 and 806.81

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Solution

The fourth proportional to 2,288.40, 3,431.16 and 806.81 is: 1,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.40 : 3,431.16 = 806.81 : x
  2. Step 2: Convert to fraction form
    2,288.40/3,431.16 = 806.81/x
  3. Step 3: Cross multiply
    2,288.40x = 3,431.16 × 806.81
  4. Step 4: Simplify right side
    2,288.40x = 2,768,294.20
  5. Step 5: Solve for x
    x = 2,768,294.20/2,288.40
  6. Step 6: Final answer
    x = 1,209.71

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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.