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Finding the Fourth Proportional to 1,027.40, 1,540.20 and 616.10

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Solution

The fourth proportional to 1,027.40, 1,540.20 and 616.10 is: 923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.40 : 1,540.20 = 616.10 : x
  2. Step 2: Convert to fraction form
    1,027.40/1,540.20 = 616.10/x
  3. Step 3: Cross multiply
    1,027.40x = 1,540.20 × 616.10
  4. Step 4: Simplify right side
    1,027.40x = 948,917.22
  5. Step 5: Solve for x
    x = 948,917.22/1,027.40
  6. Step 6: Final answer
    x = 923.61

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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.