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Finding the Fourth Proportional to 853.22, 1,273.17 and 761.28

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Solution

The fourth proportional to 853.22, 1,273.17 and 761.28 is: 1,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.22 : 1,273.17 = 761.28 : x
  2. Step 2: Convert to fraction form
    853.22/1,273.17 = 761.28/x
  3. Step 3: Cross multiply
    853.22x = 1,273.17 × 761.28
  4. Step 4: Simplify right side
    853.22x = 969,243.94
  5. Step 5: Solve for x
    x = 969,243.94/853.22
  6. Step 6: Final answer
    x = 1,135.99

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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.