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Finding the Fourth Proportional to 548.98, 821.52 and 439.99

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Solution

The fourth proportional to 548.98, 821.52 and 439.99 is: 658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.98 : 821.52 = 439.99 : x
  2. Step 2: Convert to fraction form
    548.98/821.52 = 439.99/x
  3. Step 3: Cross multiply
    548.98x = 821.52 × 439.99
  4. Step 4: Simplify right side
    548.98x = 361,463.07
  5. Step 5: Solve for x
    x = 361,463.07/548.98
  6. Step 6: Final answer
    x = 658.42

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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.