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Finding the Fourth Proportional to 548.88, 828.18 and 544.56

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Solution

The fourth proportional to 548.88, 828.18 and 544.56 is: 821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 828.18 = 544.56 : x
  2. Step 2: Convert to fraction form
    548.88/828.18 = 544.56/x
  3. Step 3: Cross multiply
    548.88x = 828.18 × 544.56
  4. Step 4: Simplify right side
    548.88x = 450,993.70
  5. Step 5: Solve for x
    x = 450,993.70/548.88
  6. Step 6: Final answer
    x = 821.66

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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.