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Finding the Fourth Proportional to 852.39, 1,278.45 and 275.27

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Solution

The fourth proportional to 852.39, 1,278.45 and 275.27 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.39 : 1,278.45 = 275.27 : x
  2. Step 2: Convert to fraction form
    852.39/1,278.45 = 275.27/x
  3. Step 3: Cross multiply
    852.39x = 1,278.45 × 275.27
  4. Step 4: Simplify right side
    852.39x = 351,912.54
  5. Step 5: Solve for x
    x = 351,912.54/852.39
  6. Step 6: Final answer
    x = 412.85

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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.