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Finding the Fourth Proportional to 723.37, 998.35 and 408.76

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Solution

The fourth proportional to 723.37, 998.35 and 408.76 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.37 : 998.35 = 408.76 : x
  2. Step 2: Convert to fraction form
    723.37/998.35 = 408.76/x
  3. Step 3: Cross multiply
    723.37x = 998.35 × 408.76
  4. Step 4: Simplify right side
    723.37x = 408,082.03
  5. Step 5: Solve for x
    x = 408,082.03/723.37
  6. Step 6: Final answer
    x = 564.14

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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.