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Finding the Fourth Proportional to 548.00, 821.07 and 331.13

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Solution

The fourth proportional to 548.00, 821.07 and 331.13 is: 496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.00 : 821.07 = 331.13 : x
  2. Step 2: Convert to fraction form
    548.00/821.07 = 331.13/x
  3. Step 3: Cross multiply
    548.00x = 821.07 × 331.13
  4. Step 4: Simplify right side
    548.00x = 271,878.05
  5. Step 5: Solve for x
    x = 271,878.05/548.00
  6. Step 6: Final answer
    x = 496.13

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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.