Home / 2,270.11-3,406.79-809.28

Finding the Fourth Proportional to 2,270.11, 3,406.79 and 809.28

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Solution

The fourth proportional to 2,270.11, 3,406.79 and 809.28 is: 1,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.11 : 3,406.79 = 809.28 : x
  2. Step 2: Convert to fraction form
    2,270.11/3,406.79 = 809.28/x
  3. Step 3: Cross multiply
    2,270.11x = 3,406.79 × 809.28
  4. Step 4: Simplify right side
    2,270.11x = 2,757,025.93
  5. Step 5: Solve for x
    x = 2,757,025.93/2,270.11
  6. Step 6: Final answer
    x = 1,214.49

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1.5x scale

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.