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Finding the Fourth Proportional to 649.64, 968.20 and 648.62

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Solution

The fourth proportional to 649.64, 968.20 and 648.62 is: 966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 968.20 = 648.62 : x
  2. Step 2: Convert to fraction form
    649.64/968.20 = 648.62/x
  3. Step 3: Cross multiply
    649.64x = 968.20 × 648.62
  4. Step 4: Simplify right side
    649.64x = 627,993.88
  5. Step 5: Solve for x
    x = 627,993.88/649.64
  6. Step 6: Final answer
    x = 966.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.