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Finding the Fourth Proportional to 2,963.53, 4,445.19 and 772.21

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Solution

The fourth proportional to 2,963.53, 4,445.19 and 772.21 is: 1,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.53 : 4,445.19 = 772.21 : x
  2. Step 2: Convert to fraction form
    2,963.53/4,445.19 = 772.21/x
  3. Step 3: Cross multiply
    2,963.53x = 4,445.19 × 772.21
  4. Step 4: Simplify right side
    2,963.53x = 3,432,620.17
  5. Step 5: Solve for x
    x = 3,432,620.17/2,963.53
  6. Step 6: Final answer
    x = 1,158.29

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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.