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Finding the Fourth Proportional to 1,272.24, 1,906.07 and 854.78

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Solution

The fourth proportional to 1,272.24, 1,906.07 and 854.78 is: 1,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.24 : 1,906.07 = 854.78 : x
  2. Step 2: Convert to fraction form
    1,272.24/1,906.07 = 854.78/x
  3. Step 3: Cross multiply
    1,272.24x = 1,906.07 × 854.78
  4. Step 4: Simplify right side
    1,272.24x = 1,629,256.71
  5. Step 5: Solve for x
    x = 1,629,256.71/1,272.24
  6. Step 6: Final answer
    x = 1,280.62

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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.