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Finding the Fourth Proportional to 1,079.78, 1,620.13 and 531.97

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Solution

The fourth proportional to 1,079.78, 1,620.13 and 531.97 is: 798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.78 : 1,620.13 = 531.97 : x
  2. Step 2: Convert to fraction form
    1,079.78/1,620.13 = 531.97/x
  3. Step 3: Cross multiply
    1,079.78x = 1,620.13 × 531.97
  4. Step 4: Simplify right side
    1,079.78x = 861,849.80
  5. Step 5: Solve for x
    x = 861,849.80/1,079.78
  6. Step 6: Final answer
    x = 798.17

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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.