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Finding the Fourth Proportional to 852.09, 1,277.26 and 505.37

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Solution

The fourth proportional to 852.09, 1,277.26 and 505.37 is: 757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.09 : 1,277.26 = 505.37 : x
  2. Step 2: Convert to fraction form
    852.09/1,277.26 = 505.37/x
  3. Step 3: Cross multiply
    852.09x = 1,277.26 × 505.37
  4. Step 4: Simplify right side
    852.09x = 645,481.24
  5. Step 5: Solve for x
    x = 645,481.24/852.09
  6. Step 6: Final answer
    x = 757.53

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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.