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Finding the Fourth Proportional to 496.44, 739.08 and 489.96

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Solution

The fourth proportional to 496.44, 739.08 and 489.96 is: 729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.44 : 739.08 = 489.96 : x
  2. Step 2: Convert to fraction form
    496.44/739.08 = 489.96/x
  3. Step 3: Cross multiply
    496.44x = 739.08 × 489.96
  4. Step 4: Simplify right side
    496.44x = 362,119.64
  5. Step 5: Solve for x
    x = 362,119.64/496.44
  6. Step 6: Final answer
    x = 729.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.