Home / 1,274.24-1,911.38-408.55

Finding the Fourth Proportional to 1,274.24, 1,911.38 and 408.55

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Solution

The fourth proportional to 1,274.24, 1,911.38 and 408.55 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.24 : 1,911.38 = 408.55 : x
  2. Step 2: Convert to fraction form
    1,274.24/1,911.38 = 408.55/x
  3. Step 3: Cross multiply
    1,274.24x = 1,911.38 × 408.55
  4. Step 4: Simplify right side
    1,274.24x = 780,882.70
  5. Step 5: Solve for x
    x = 780,882.70/1,274.24
  6. Step 6: Final answer
    x = 612.82

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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.