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Finding the Fourth Proportional to 854.73, 1,279.13 and 623.27

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Solution

The fourth proportional to 854.73, 1,279.13 and 623.27 is: 932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.73 : 1,279.13 = 623.27 : x
  2. Step 2: Convert to fraction form
    854.73/1,279.13 = 623.27/x
  3. Step 3: Cross multiply
    854.73x = 1,279.13 × 623.27
  4. Step 4: Simplify right side
    854.73x = 797,243.44
  5. Step 5: Solve for x
    x = 797,243.44/854.73
  6. Step 6: Final answer
    x = 932.74

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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.