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Finding the Fourth Proportional to 850.46, 1,273.23 and 782.42

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Solution

The fourth proportional to 850.46, 1,273.23 and 782.42 is: 1,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.46 : 1,273.23 = 782.42 : x
  2. Step 2: Convert to fraction form
    850.46/1,273.23 = 782.42/x
  3. Step 3: Cross multiply
    850.46x = 1,273.23 × 782.42
  4. Step 4: Simplify right side
    850.46x = 996,194.25
  5. Step 5: Solve for x
    x = 996,194.25/850.46
  6. Step 6: Final answer
    x = 1,171.37

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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.