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Finding the Fourth Proportional to 854.12, 1,279.76 and 766.94

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Solution

The fourth proportional to 854.12, 1,279.76 and 766.94 is: 1,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.12 : 1,279.76 = 766.94 : x
  2. Step 2: Convert to fraction form
    854.12/1,279.76 = 766.94/x
  3. Step 3: Cross multiply
    854.12x = 1,279.76 × 766.94
  4. Step 4: Simplify right side
    854.12x = 981,499.13
  5. Step 5: Solve for x
    x = 981,499.13/854.12
  6. Step 6: Final answer
    x = 1,149.13

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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.