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Finding the Fourth Proportional to 1,027.40, 1,540.28 and 540.18

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Solution

The fourth proportional to 1,027.40, 1,540.28 and 540.18 is: 809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.40 : 1,540.28 = 540.18 : x
  2. Step 2: Convert to fraction form
    1,027.40/1,540.28 = 540.18/x
  3. Step 3: Cross multiply
    1,027.40x = 1,540.28 × 540.18
  4. Step 4: Simplify right side
    1,027.40x = 832,029.80
  5. Step 5: Solve for x
    x = 832,029.80/1,027.40
  6. Step 6: Final answer
    x = 809.84

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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.