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Finding the Fourth Proportional to 645.75, 885 and 633.60

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Solution

The fourth proportional to 645.75, 885 and 633.60 is: 868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.75 : 885 = 633.60 : x
  2. Step 2: Convert to fraction form
    645.75/885 = 633.60/x
  3. Step 3: Cross multiply
    645.75x = 885 × 633.60
  4. Step 4: Simplify right side
    645.75x = 560,736
  5. Step 5: Solve for x
    x = 560,736/645.75
  6. Step 6: Final answer
    x = 868.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.