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Finding the Fourth Proportional to 723.05, 997.71 and 408.29

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Solution

The fourth proportional to 723.05, 997.71 and 408.29 is: 563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.05 : 997.71 = 408.29 : x
  2. Step 2: Convert to fraction form
    723.05/997.71 = 408.29/x
  3. Step 3: Cross multiply
    723.05x = 997.71 × 408.29
  4. Step 4: Simplify right side
    723.05x = 407,350.03
  5. Step 5: Solve for x
    x = 407,350.03/723.05
  6. Step 6: Final answer
    x = 563.38

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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.