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Finding the Fourth Proportional to 850.89, 1,270.38 and 798.75

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Solution

The fourth proportional to 850.89, 1,270.38 and 798.75 is: 1,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.89 : 1,270.38 = 798.75 : x
  2. Step 2: Convert to fraction form
    850.89/1,270.38 = 798.75/x
  3. Step 3: Cross multiply
    850.89x = 1,270.38 × 798.75
  4. Step 4: Simplify right side
    850.89x = 1,014,716.03
  5. Step 5: Solve for x
    x = 1,014,716.03/850.89
  6. Step 6: Final answer
    x = 1,192.53

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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.