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Finding the Fourth Proportional to 548.61, 821.82 and 480.21

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Solution

The fourth proportional to 548.61, 821.82 and 480.21 is: 719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.61 : 821.82 = 480.21 : x
  2. Step 2: Convert to fraction form
    548.61/821.82 = 480.21/x
  3. Step 3: Cross multiply
    548.61x = 821.82 × 480.21
  4. Step 4: Simplify right side
    548.61x = 394,646.18
  5. Step 5: Solve for x
    x = 394,646.18/548.61
  6. Step 6: Final answer
    x = 719.36

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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.