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Finding the Fourth Proportional to 481.75, 723.31 and 459.73

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Solution

The fourth proportional to 481.75, 723.31 and 459.73 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.75 : 723.31 = 459.73 : x
  2. Step 2: Convert to fraction form
    481.75/723.31 = 459.73/x
  3. Step 3: Cross multiply
    481.75x = 723.31 × 459.73
  4. Step 4: Simplify right side
    481.75x = 332,529.22
  5. Step 5: Solve for x
    x = 332,529.22/481.75
  6. Step 6: Final answer
    x = 690.25

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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.