Home / 1,027.40-1,540.20-411.52

Finding the Fourth Proportional to 1,027.40, 1,540.20 and 411.52

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Solution

The fourth proportional to 1,027.40, 1,540.20 and 411.52 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.40 : 1,540.20 = 411.52 : x
  2. Step 2: Convert to fraction form
    1,027.40/1,540.20 = 411.52/x
  3. Step 3: Cross multiply
    1,027.40x = 1,540.20 × 411.52
  4. Step 4: Simplify right side
    1,027.40x = 633,823.10
  5. Step 5: Solve for x
    x = 633,823.10/1,027.40
  6. Step 6: Final answer
    x = 616.92

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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.