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Finding the Fourth Proportional to 723.21, 997.80 and 443.30

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Solution

The fourth proportional to 723.21, 997.80 and 443.30 is: 611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.21 : 997.80 = 443.30 : x
  2. Step 2: Convert to fraction form
    723.21/997.80 = 443.30/x
  3. Step 3: Cross multiply
    723.21x = 997.80 × 443.30
  4. Step 4: Simplify right side
    723.21x = 442,327.23
  5. Step 5: Solve for x
    x = 442,327.23/723.21
  6. Step 6: Final answer
    x = 611.62

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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.