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Finding the Fourth Proportional to 645.75, 966.78 and 548.13

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Solution

The fourth proportional to 645.75, 966.78 and 548.13 is: 820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.75 : 966.78 = 548.13 : x
  2. Step 2: Convert to fraction form
    645.75/966.78 = 548.13/x
  3. Step 3: Cross multiply
    645.75x = 966.78 × 548.13
  4. Step 4: Simplify right side
    645.75x = 529,921.12
  5. Step 5: Solve for x
    x = 529,921.12/645.75
  6. Step 6: Final answer
    x = 820.63

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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.