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Finding the Fourth Proportional to 724.50, 999.81 and 414.18

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Solution

The fourth proportional to 724.50, 999.81 and 414.18 is: 571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 999.81 = 414.18 : x
  2. Step 2: Convert to fraction form
    724.50/999.81 = 414.18/x
  3. Step 3: Cross multiply
    724.50x = 999.81 × 414.18
  4. Step 4: Simplify right side
    724.50x = 414,101.31
  5. Step 5: Solve for x
    x = 414,101.31/724.50
  6. Step 6: Final answer
    x = 571.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.