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Finding the Fourth Proportional to 719, 992.22 and 408.50

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Solution

The fourth proportional to 719, 992.22 and 408.50 is: 563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719 : 992.22 = 408.50 : x
  2. Step 2: Convert to fraction form
    719/992.22 = 408.50/x
  3. Step 3: Cross multiply
    719x = 992.22 × 408.50
  4. Step 4: Simplify right side
    719x = 405,321.87
  5. Step 5: Solve for x
    x = 405,321.87/719
  6. Step 6: Final answer
    x = 563.73

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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.