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Finding the Fourth Proportional to 2,963.44, 4,445.13 and 771.97

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Solution

The fourth proportional to 2,963.44, 4,445.13 and 771.97 is: 1,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.44 : 4,445.13 = 771.97 : x
  2. Step 2: Convert to fraction form
    2,963.44/4,445.13 = 771.97/x
  3. Step 3: Cross multiply
    2,963.44x = 4,445.13 × 771.97
  4. Step 4: Simplify right side
    2,963.44x = 3,431,507.01
  5. Step 5: Solve for x
    x = 3,431,507.01/2,963.44
  6. Step 6: Final answer
    x = 1,157.95

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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.