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Finding the Fourth Proportional to 645.05, 968.49 and 634.12

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Solution

The fourth proportional to 645.05, 968.49 and 634.12 is: 952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.05 : 968.49 = 634.12 : x
  2. Step 2: Convert to fraction form
    645.05/968.49 = 634.12/x
  3. Step 3: Cross multiply
    645.05x = 968.49 × 634.12
  4. Step 4: Simplify right side
    645.05x = 614,136.46
  5. Step 5: Solve for x
    x = 614,136.46/645.05
  6. Step 6: Final answer
    x = 952.07

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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.