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Finding the Fourth Proportional to 1,027.13, 1,540.69 and 257.63

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Solution

The fourth proportional to 1,027.13, 1,540.69 and 257.63 is: 386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.13 : 1,540.69 = 257.63 : x
  2. Step 2: Convert to fraction form
    1,027.13/1,540.69 = 257.63/x
  3. Step 3: Cross multiply
    1,027.13x = 1,540.69 × 257.63
  4. Step 4: Simplify right side
    1,027.13x = 396,919.62
  5. Step 5: Solve for x
    x = 396,919.62/1,027.13
  6. Step 6: Final answer
    x = 386.44

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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.