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Finding the Fourth Proportional to 723.13, 998.02 and 443.31

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Solution

The fourth proportional to 723.13, 998.02 and 443.31 is: 611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.13 : 998.02 = 443.31 : x
  2. Step 2: Convert to fraction form
    723.13/998.02 = 443.31/x
  3. Step 3: Cross multiply
    723.13x = 998.02 × 443.31
  4. Step 4: Simplify right side
    723.13x = 442,436.23
  5. Step 5: Solve for x
    x = 442,436.23/723.13
  6. Step 6: Final answer
    x = 611.83

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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.