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Finding the Fourth Proportional to 1,027.26, 1,540.82 and 410.80

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Solution

The fourth proportional to 1,027.26, 1,540.82 and 410.80 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.26 : 1,540.82 = 410.80 : x
  2. Step 2: Convert to fraction form
    1,027.26/1,540.82 = 410.80/x
  3. Step 3: Cross multiply
    1,027.26x = 1,540.82 × 410.80
  4. Step 4: Simplify right side
    1,027.26x = 632,968.86
  5. Step 5: Solve for x
    x = 632,968.86/1,027.26
  6. Step 6: Final answer
    x = 616.17

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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.