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Finding the Fourth Proportional to 2,419.70, 3,629.56 and 688.34

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Solution

The fourth proportional to 2,419.70, 3,629.56 and 688.34 is: 1,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.70 : 3,629.56 = 688.34 : x
  2. Step 2: Convert to fraction form
    2,419.70/3,629.56 = 688.34/x
  3. Step 3: Cross multiply
    2,419.70x = 3,629.56 × 688.34
  4. Step 4: Simplify right side
    2,419.70x = 2,498,371.33
  5. Step 5: Solve for x
    x = 2,498,371.33/2,419.70
  6. Step 6: Final answer
    x = 1,032.51

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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.