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Finding the Fourth Proportional to 2,963.27, 4,444.89 and 771.95

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Solution

The fourth proportional to 2,963.27, 4,444.89 and 771.95 is: 1,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.27 : 4,444.89 = 771.95 : x
  2. Step 2: Convert to fraction form
    2,963.27/4,444.89 = 771.95/x
  3. Step 3: Cross multiply
    2,963.27x = 4,444.89 × 771.95
  4. Step 4: Simplify right side
    2,963.27x = 3,431,232.84
  5. Step 5: Solve for x
    x = 3,431,232.84/2,963.27
  6. Step 6: Final answer
    x = 1,157.92

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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.