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Finding the Fourth Proportional to 724.50, 1,086.11 and 464.58

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Solution

The fourth proportional to 724.50, 1,086.11 and 464.58 is: 696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 1,086.11 = 464.58 : x
  2. Step 2: Convert to fraction form
    724.50/1,086.11 = 464.58/x
  3. Step 3: Cross multiply
    724.50x = 1,086.11 × 464.58
  4. Step 4: Simplify right side
    724.50x = 504,578.73
  5. Step 5: Solve for x
    x = 504,578.73/724.50
  6. Step 6: Final answer
    x = 696.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.