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Finding the Fourth Proportional to 2,263.05, 3,395.28 and 681.83

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Solution

The fourth proportional to 2,263.05, 3,395.28 and 681.83 is: 1,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.05 : 3,395.28 = 681.83 : x
  2. Step 2: Convert to fraction form
    2,263.05/3,395.28 = 681.83/x
  3. Step 3: Cross multiply
    2,263.05x = 3,395.28 × 681.83
  4. Step 4: Simplify right side
    2,263.05x = 2,315,003.76
  5. Step 5: Solve for x
    x = 2,315,003.76/2,263.05
  6. Step 6: Final answer
    x = 1,022.96

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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.