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Finding the Fourth Proportional to 648.38, 968.85 and 441.23

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Solution

The fourth proportional to 648.38, 968.85 and 441.23 is: 659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.38 : 968.85 = 441.23 : x
  2. Step 2: Convert to fraction form
    648.38/968.85 = 441.23/x
  3. Step 3: Cross multiply
    648.38x = 968.85 × 441.23
  4. Step 4: Simplify right side
    648.38x = 427,480.84
  5. Step 5: Solve for x
    x = 427,480.84/648.38
  6. Step 6: Final answer
    x = 659.30

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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.