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Finding the Fourth Proportional to 548.08, 821.50 and 439.64

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Solution

The fourth proportional to 548.08, 821.50 and 439.64 is: 658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.08 : 821.50 = 439.64 : x
  2. Step 2: Convert to fraction form
    548.08/821.50 = 439.64/x
  3. Step 3: Cross multiply
    548.08x = 821.50 × 439.64
  4. Step 4: Simplify right side
    548.08x = 361,164.26
  5. Step 5: Solve for x
    x = 361,164.26/548.08
  6. Step 6: Final answer
    x = 658.96

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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.