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Finding the Fourth Proportional to 637.80, 878.09 and 548.96

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Solution

The fourth proportional to 637.80, 878.09 and 548.96 is: 755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.80 : 878.09 = 548.96 : x
  2. Step 2: Convert to fraction form
    637.80/878.09 = 548.96/x
  3. Step 3: Cross multiply
    637.80x = 878.09 × 548.96
  4. Step 4: Simplify right side
    637.80x = 482,029.15
  5. Step 5: Solve for x
    x = 482,029.15/637.80
  6. Step 6: Final answer
    x = 755.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.