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Finding the Fourth Proportional to 1,081.43, 1,620.73 and 496.22

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Solution

The fourth proportional to 1,081.43, 1,620.73 and 496.22 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.43 : 1,620.73 = 496.22 : x
  2. Step 2: Convert to fraction form
    1,081.43/1,620.73 = 496.22/x
  3. Step 3: Cross multiply
    1,081.43x = 1,620.73 × 496.22
  4. Step 4: Simplify right side
    1,081.43x = 804,238.64
  5. Step 5: Solve for x
    x = 804,238.64/1,081.43
  6. Step 6: Final answer
    x = 743.68

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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.