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Finding the Fourth Proportional to 2,629.79, 3,944.69 and 682.01

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Solution

The fourth proportional to 2,629.79, 3,944.69 and 682.01 is: 1,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.79 : 3,944.69 = 682.01 : x
  2. Step 2: Convert to fraction form
    2,629.79/3,944.69 = 682.01/x
  3. Step 3: Cross multiply
    2,629.79x = 3,944.69 × 682.01
  4. Step 4: Simplify right side
    2,629.79x = 2,690,294.89
  5. Step 5: Solve for x
    x = 2,690,294.89/2,629.79
  6. Step 6: Final answer
    x = 1,023.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.