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Finding the Fourth Proportional to 2,155.53, 3,233.30 and 768.91

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Solution

The fourth proportional to 2,155.53, 3,233.30 and 768.91 is: 1,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.53 : 3,233.30 = 768.91 : x
  2. Step 2: Convert to fraction form
    2,155.53/3,233.30 = 768.91/x
  3. Step 3: Cross multiply
    2,155.53x = 3,233.30 × 768.91
  4. Step 4: Simplify right side
    2,155.53x = 2,486,110.54
  5. Step 5: Solve for x
    x = 2,486,110.54/2,155.53
  6. Step 6: Final answer
    x = 1,153.36

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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.