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Finding the Fourth Proportional to 2,629.50, 3,944.28 and 681.59

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Solution

The fourth proportional to 2,629.50, 3,944.28 and 681.59 is: 1,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.50 : 3,944.28 = 681.59 : x
  2. Step 2: Convert to fraction form
    2,629.50/3,944.28 = 681.59/x
  3. Step 3: Cross multiply
    2,629.50x = 3,944.28 × 681.59
  4. Step 4: Simplify right side
    2,629.50x = 2,688,362.08
  5. Step 5: Solve for x
    x = 2,688,362.08/2,629.50
  6. Step 6: Final answer
    x = 1,022.39

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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.