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Finding the Fourth Proportional to 724.09, 999.21 and 409.33

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Solution

The fourth proportional to 724.09, 999.21 and 409.33 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.09 : 999.21 = 409.33 : x
  2. Step 2: Convert to fraction form
    724.09/999.21 = 409.33/x
  3. Step 3: Cross multiply
    724.09x = 999.21 × 409.33
  4. Step 4: Simplify right side
    724.09x = 409,006.63
  5. Step 5: Solve for x
    x = 409,006.63/724.09
  6. Step 6: Final answer
    x = 564.86

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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.