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Finding the Fourth Proportional to 548.27, 826.09 and 489.32

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Solution

The fourth proportional to 548.27, 826.09 and 489.32 is: 737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.27 : 826.09 = 489.32 : x
  2. Step 2: Convert to fraction form
    548.27/826.09 = 489.32/x
  3. Step 3: Cross multiply
    548.27x = 826.09 × 489.32
  4. Step 4: Simplify right side
    548.27x = 404,222.36
  5. Step 5: Solve for x
    x = 404,222.36/548.27
  6. Step 6: Final answer
    x = 737.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.