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Finding the Fourth Proportional to 548.80, 821.52 and 513.28

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Solution

The fourth proportional to 548.80, 821.52 and 513.28 is: 768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 821.52 = 513.28 : x
  2. Step 2: Convert to fraction form
    548.80/821.52 = 513.28/x
  3. Step 3: Cross multiply
    548.80x = 821.52 × 513.28
  4. Step 4: Simplify right side
    548.80x = 421,669.79
  5. Step 5: Solve for x
    x = 421,669.79/548.80
  6. Step 6: Final answer
    x = 768.35

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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.