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Finding the Fourth Proportional to 645.72, 968.54 and 206.97

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Solution

The fourth proportional to 645.72, 968.54 and 206.97 is: 310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.72 : 968.54 = 206.97 : x
  2. Step 2: Convert to fraction form
    645.72/968.54 = 206.97/x
  3. Step 3: Cross multiply
    645.72x = 968.54 × 206.97
  4. Step 4: Simplify right side
    645.72x = 200,457.69
  5. Step 5: Solve for x
    x = 200,457.69/645.72
  6. Step 6: Final answer
    x = 310.44

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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.