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Finding the Fourth Proportional to 548.00, 821.34 and 382.57

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Solution

The fourth proportional to 548.00, 821.34 and 382.57 is: 573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.00 : 821.34 = 382.57 : x
  2. Step 2: Convert to fraction form
    548.00/821.34 = 382.57/x
  3. Step 3: Cross multiply
    548.00x = 821.34 × 382.57
  4. Step 4: Simplify right side
    548.00x = 314,217.99
  5. Step 5: Solve for x
    x = 314,217.99/548.00
  6. Step 6: Final answer
    x = 573.39

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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.