Home / 1,274.30-1,911.36-408.54

Finding the Fourth Proportional to 1,274.30, 1,911.36 and 408.54

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Solution

The fourth proportional to 1,274.30, 1,911.36 and 408.54 is: 612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.30 : 1,911.36 = 408.54 : x
  2. Step 2: Convert to fraction form
    1,274.30/1,911.36 = 408.54/x
  3. Step 3: Cross multiply
    1,274.30x = 1,911.36 × 408.54
  4. Step 4: Simplify right side
    1,274.30x = 780,867.01
  5. Step 5: Solve for x
    x = 780,867.01/1,274.30
  6. Step 6: Final answer
    x = 612.78

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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.