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Finding the Fourth Proportional to 723.23, 997.82 and 443.37

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Solution

The fourth proportional to 723.23, 997.82 and 443.37 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.23 : 997.82 = 443.37 : x
  2. Step 2: Convert to fraction form
    723.23/997.82 = 443.37/x
  3. Step 3: Cross multiply
    723.23x = 997.82 × 443.37
  4. Step 4: Simplify right side
    723.23x = 442,406.64
  5. Step 5: Solve for x
    x = 442,406.64/723.23
  6. Step 6: Final answer
    x = 611.71

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