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Finding the Fourth Proportional to 645.97, 968.95 and 440.03

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Solution

The fourth proportional to 645.97, 968.95 and 440.03 is: 660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.97 : 968.95 = 440.03 : x
  2. Step 2: Convert to fraction form
    645.97/968.95 = 440.03/x
  3. Step 3: Cross multiply
    645.97x = 968.95 × 440.03
  4. Step 4: Simplify right side
    645.97x = 426,363.55
  5. Step 5: Solve for x
    x = 426,363.55/645.97
  6. Step 6: Final answer
    x = 660.04

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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.