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Finding the Fourth Proportional to 2,963.85, 4,445.77 and 772.59

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Solution

The fourth proportional to 2,963.85, 4,445.77 and 772.59 is: 1,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.85 : 4,445.77 = 772.59 : x
  2. Step 2: Convert to fraction form
    2,963.85/4,445.77 = 772.59/x
  3. Step 3: Cross multiply
    2,963.85x = 4,445.77 × 772.59
  4. Step 4: Simplify right side
    2,963.85x = 3,434,757.44
  5. Step 5: Solve for x
    x = 3,434,757.44/2,963.85
  6. Step 6: Final answer
    x = 1,158.88

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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.