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Finding the Fourth Proportional to 1,027.07, 1,540.56 and 410.61

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Solution

The fourth proportional to 1,027.07, 1,540.56 and 410.61 is: 615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.07 : 1,540.56 = 410.61 : x
  2. Step 2: Convert to fraction form
    1,027.07/1,540.56 = 410.61/x
  3. Step 3: Cross multiply
    1,027.07x = 1,540.56 × 410.61
  4. Step 4: Simplify right side
    1,027.07x = 632,570.37
  5. Step 5: Solve for x
    x = 632,570.37/1,027.07
  6. Step 6: Final answer
    x = 615.90

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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.