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Finding the Fourth Proportional to 645.48, 966.87 and 548.42

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Solution

The fourth proportional to 645.48, 966.87 and 548.42 is: 821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.48 : 966.87 = 548.42 : x
  2. Step 2: Convert to fraction form
    645.48/966.87 = 548.42/x
  3. Step 3: Cross multiply
    645.48x = 966.87 × 548.42
  4. Step 4: Simplify right side
    645.48x = 530,246.01
  5. Step 5: Solve for x
    x = 530,246.01/645.48
  6. Step 6: Final answer
    x = 821.48

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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.