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Finding the Fourth Proportional to 723.82, 998.43 and 444.10

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Solution

The fourth proportional to 723.82, 998.43 and 444.10 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.82 : 998.43 = 444.10 : x
  2. Step 2: Convert to fraction form
    723.82/998.43 = 444.10/x
  3. Step 3: Cross multiply
    723.82x = 998.43 × 444.10
  4. Step 4: Simplify right side
    723.82x = 443,402.76
  5. Step 5: Solve for x
    x = 443,402.76/723.82
  6. Step 6: Final answer
    x = 612.59

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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.