Home / 1,027.57-1,540.20-411.11

Finding the Fourth Proportional to 1,027.57, 1,540.20 and 411.11

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Solution

The fourth proportional to 1,027.57, 1,540.20 and 411.11 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.57 : 1,540.20 = 411.11 : x
  2. Step 2: Convert to fraction form
    1,027.57/1,540.20 = 411.11/x
  3. Step 3: Cross multiply
    1,027.57x = 1,540.20 × 411.11
  4. Step 4: Simplify right side
    1,027.57x = 633,191.62
  5. Step 5: Solve for x
    x = 633,191.62/1,027.57
  6. Step 6: Final answer
    x = 616.20

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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.