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Finding the Fourth Proportional to 723.77, 998.58 and 408.99

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Solution

The fourth proportional to 723.77, 998.58 and 408.99 is: 564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.77 : 998.58 = 408.99 : x
  2. Step 2: Convert to fraction form
    723.77/998.58 = 408.99/x
  3. Step 3: Cross multiply
    723.77x = 998.58 × 408.99
  4. Step 4: Simplify right side
    723.77x = 408,409.23
  5. Step 5: Solve for x
    x = 408,409.23/723.77
  6. Step 6: Final answer
    x = 564.28

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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.