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Finding the Fourth Proportional to 1,074.09, 1,611.11 and 496.97

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Solution

The fourth proportional to 1,074.09, 1,611.11 and 496.97 is: 745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.09 : 1,611.11 = 496.97 : x
  2. Step 2: Convert to fraction form
    1,074.09/1,611.11 = 496.97/x
  3. Step 3: Cross multiply
    1,074.09x = 1,611.11 × 496.97
  4. Step 4: Simplify right side
    1,074.09x = 800,662.80
  5. Step 5: Solve for x
    x = 800,662.80/1,074.09
  6. Step 6: Final answer
    x = 745.43

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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.