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Finding the Fourth Proportional to 724.50, 999.80 and 409.82

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Solution

The fourth proportional to 724.50, 999.80 and 409.82 is: 565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 999.80 = 409.82 : x
  2. Step 2: Convert to fraction form
    724.50/999.80 = 409.82/x
  3. Step 3: Cross multiply
    724.50x = 999.80 × 409.82
  4. Step 4: Simplify right side
    724.50x = 409,738.04
  5. Step 5: Solve for x
    x = 409,738.04/724.50
  6. Step 6: Final answer
    x = 565.55

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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.