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Finding the Fourth Proportional to 857.44, 1,286.16 and 771.58

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Solution

The fourth proportional to 857.44, 1,286.16 and 771.58 is: 1,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.44 : 1,286.16 = 771.58 : x
  2. Step 2: Convert to fraction form
    857.44/1,286.16 = 771.58/x
  3. Step 3: Cross multiply
    857.44x = 1,286.16 × 771.58
  4. Step 4: Simplify right side
    857.44x = 992,375.33
  5. Step 5: Solve for x
    x = 992,375.33/857.44
  6. Step 6: Final answer
    x = 1,157.37

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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.