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Finding the Fourth Proportional to 850.50, 1,172.61 and 629.08

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Solution

The fourth proportional to 850.50, 1,172.61 and 629.08 is: 867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.50 : 1,172.61 = 629.08 : x
  2. Step 2: Convert to fraction form
    850.50/1,172.61 = 629.08/x
  3. Step 3: Cross multiply
    850.50x = 1,172.61 × 629.08
  4. Step 4: Simplify right side
    850.50x = 737,662.57
  5. Step 5: Solve for x
    x = 737,662.57/850.50
  6. Step 6: Final answer
    x = 867.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.