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Finding the Fourth Proportional to 548.88, 821.68 and 419.36

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Solution

The fourth proportional to 548.88, 821.68 and 419.36 is: 627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 821.68 = 419.36 : x
  2. Step 2: Convert to fraction form
    548.88/821.68 = 419.36/x
  3. Step 3: Cross multiply
    548.88x = 821.68 × 419.36
  4. Step 4: Simplify right side
    548.88x = 344,579.72
  5. Step 5: Solve for x
    x = 344,579.72/548.88
  6. Step 6: Final answer
    x = 627.79

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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.