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Finding the Fourth Proportional to 642.39, 966.99 and 548.43

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Solution

The fourth proportional to 642.39, 966.99 and 548.43 is: 825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.39 : 966.99 = 548.43 : x
  2. Step 2: Convert to fraction form
    642.39/966.99 = 548.43/x
  3. Step 3: Cross multiply
    642.39x = 966.99 × 548.43
  4. Step 4: Simplify right side
    642.39x = 530,326.33
  5. Step 5: Solve for x
    x = 530,326.33/642.39
  6. Step 6: Final answer
    x = 825.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.