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Finding the Fourth Proportional to 645.97, 968.55 and 213.01

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Solution

The fourth proportional to 645.97, 968.55 and 213.01 is: 319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.97 : 968.55 = 213.01 : x
  2. Step 2: Convert to fraction form
    645.97/968.55 = 213.01/x
  3. Step 3: Cross multiply
    645.97x = 968.55 × 213.01
  4. Step 4: Simplify right side
    645.97x = 206,310.84
  5. Step 5: Solve for x
    x = 206,310.84/645.97
  6. Step 6: Final answer
    x = 319.38

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Similar ratio
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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.