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Finding the Fourth Proportional to 640.78, 962.38 and 548.44

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Solution

The fourth proportional to 640.78, 962.38 and 548.44 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.78 : 962.38 = 548.44 : x
  2. Step 2: Convert to fraction form
    640.78/962.38 = 548.44/x
  3. Step 3: Cross multiply
    640.78x = 962.38 × 548.44
  4. Step 4: Simplify right side
    640.78x = 527,805.97
  5. Step 5: Solve for x
    x = 527,805.97/640.78
  6. Step 6: Final answer
    x = 823.70

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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.