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Finding the Fourth Proportional to 723.37, 998.30 and 408.53

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Solution

The fourth proportional to 723.37, 998.30 and 408.53 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.37 : 998.30 = 408.53 : x
  2. Step 2: Convert to fraction form
    723.37/998.30 = 408.53/x
  3. Step 3: Cross multiply
    723.37x = 998.30 × 408.53
  4. Step 4: Simplify right side
    723.37x = 407,830.51
  5. Step 5: Solve for x
    x = 407,830.51/723.37
  6. Step 6: Final answer
    x = 563.79

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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.