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Finding the Fourth Proportional to 1,027.31, 1,540.78 and 296.78

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Solution

The fourth proportional to 1,027.31, 1,540.78 and 296.78 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.31 : 1,540.78 = 296.78 : x
  2. Step 2: Convert to fraction form
    1,027.31/1,540.78 = 296.78/x
  3. Step 3: Cross multiply
    1,027.31x = 1,540.78 × 296.78
  4. Step 4: Simplify right side
    1,027.31x = 457,275.80
  5. Step 5: Solve for x
    x = 457,275.80/1,027.31
  6. Step 6: Final answer
    x = 445.12

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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.