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Finding the Fourth Proportional to 723.46, 998.15 and 443.56

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Solution

The fourth proportional to 723.46, 998.15 and 443.56 is: 611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.46 : 998.15 = 443.56 : x
  2. Step 2: Convert to fraction form
    723.46/998.15 = 443.56/x
  3. Step 3: Cross multiply
    723.46x = 998.15 × 443.56
  4. Step 4: Simplify right side
    723.46x = 442,739.41
  5. Step 5: Solve for x
    x = 442,739.41/723.46
  6. Step 6: Final answer
    x = 611.97

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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.