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Finding the Fourth Proportional to 723.45, 998.48 and 408.74

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Solution

The fourth proportional to 723.45, 998.48 and 408.74 is: 564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.45 : 998.48 = 408.74 : x
  2. Step 2: Convert to fraction form
    723.45/998.48 = 408.74/x
  3. Step 3: Cross multiply
    723.45x = 998.48 × 408.74
  4. Step 4: Simplify right side
    723.45x = 408,111.68
  5. Step 5: Solve for x
    x = 408,111.68/723.45
  6. Step 6: Final answer
    x = 564.12

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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.