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Finding the Fourth Proportional to 854.38, 1,280.07 and 764.74

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Solution

The fourth proportional to 854.38, 1,280.07 and 764.74 is: 1,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.38 : 1,280.07 = 764.74 : x
  2. Step 2: Convert to fraction form
    854.38/1,280.07 = 764.74/x
  3. Step 3: Cross multiply
    854.38x = 1,280.07 × 764.74
  4. Step 4: Simplify right side
    854.38x = 978,920.73
  5. Step 5: Solve for x
    x = 978,920.73/854.38
  6. Step 6: Final answer
    x = 1,145.77

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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.