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Finding the Fourth Proportional to 850.33, 1,276.16 and 773.79

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Solution

The fourth proportional to 850.33, 1,276.16 and 773.79 is: 1,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.33 : 1,276.16 = 773.79 : x
  2. Step 2: Convert to fraction form
    850.33/1,276.16 = 773.79/x
  3. Step 3: Cross multiply
    850.33x = 1,276.16 × 773.79
  4. Step 4: Simplify right side
    850.33x = 987,471.19
  5. Step 5: Solve for x
    x = 987,471.19/850.33
  6. Step 6: Final answer
    x = 1,161.28

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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.