Home / 1,027.68-1,541.48-411.20

Finding the Fourth Proportional to 1,027.68, 1,541.48 and 411.20

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Solution

The fourth proportional to 1,027.68, 1,541.48 and 411.20 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.68 : 1,541.48 = 411.20 : x
  2. Step 2: Convert to fraction form
    1,027.68/1,541.48 = 411.20/x
  3. Step 3: Cross multiply
    1,027.68x = 1,541.48 × 411.20
  4. Step 4: Simplify right side
    1,027.68x = 633,856.58
  5. Step 5: Solve for x
    x = 633,856.58/1,027.68
  6. Step 6: Final answer
    x = 616.78

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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.