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Finding the Fourth Proportional to 723.50, 998.34 and 408.72

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Solution

The fourth proportional to 723.50, 998.34 and 408.72 is: 563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.50 : 998.34 = 408.72 : x
  2. Step 2: Convert to fraction form
    723.50/998.34 = 408.72/x
  3. Step 3: Cross multiply
    723.50x = 998.34 × 408.72
  4. Step 4: Simplify right side
    723.50x = 408,041.52
  5. Step 5: Solve for x
    x = 408,041.52/723.50
  6. Step 6: Final answer
    x = 563.98

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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.