Home / 1,434.20-2,151.29-408.20

Finding the Fourth Proportional to 1,434.20, 2,151.29 and 408.20

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Solution

The fourth proportional to 1,434.20, 2,151.29 and 408.20 is: 612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.20 : 2,151.29 = 408.20 : x
  2. Step 2: Convert to fraction form
    1,434.20/2,151.29 = 408.20/x
  3. Step 3: Cross multiply
    1,434.20x = 2,151.29 × 408.20
  4. Step 4: Simplify right side
    1,434.20x = 878,143.78
  5. Step 5: Solve for x
    x = 878,143.78/1,434.20
  6. Step 6: Final answer
    x = 612.29

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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.