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Finding the Fourth Proportional to 727.14, 1,003.44 and 443.47

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Solution

The fourth proportional to 727.14, 1,003.44 and 443.47 is: 611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,003.44 = 443.47 : x
  2. Step 2: Convert to fraction form
    727.14/1,003.44 = 443.47/x
  3. Step 3: Cross multiply
    727.14x = 1,003.44 × 443.47
  4. Step 4: Simplify right side
    727.14x = 444,995.54
  5. Step 5: Solve for x
    x = 444,995.54/727.14
  6. Step 6: Final answer
    x = 611.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.