Home / 2,270.27-3,405.68-809.57

Finding the Fourth Proportional to 2,270.27, 3,405.68 and 809.57

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Solution

The fourth proportional to 2,270.27, 3,405.68 and 809.57 is: 1,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.27 : 3,405.68 = 809.57 : x
  2. Step 2: Convert to fraction form
    2,270.27/3,405.68 = 809.57/x
  3. Step 3: Cross multiply
    2,270.27x = 3,405.68 × 809.57
  4. Step 4: Simplify right side
    2,270.27x = 2,757,136.36
  5. Step 5: Solve for x
    x = 2,757,136.36/2,270.27
  6. Step 6: Final answer
    x = 1,214.45

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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.