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Finding the Fourth Proportional to 850.26, 1,172.87 and 682.40

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Solution

The fourth proportional to 850.26, 1,172.87 and 682.40 is: 941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.26 : 1,172.87 = 682.40 : x
  2. Step 2: Convert to fraction form
    850.26/1,172.87 = 682.40/x
  3. Step 3: Cross multiply
    850.26x = 1,172.87 × 682.40
  4. Step 4: Simplify right side
    850.26x = 800,366.73
  5. Step 5: Solve for x
    x = 800,366.73/850.26
  6. Step 6: Final answer
    x = 941.32

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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.