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Finding the Fourth Proportional to 2,419.68, 3,629.64 and 688.26

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Solution

The fourth proportional to 2,419.68, 3,629.64 and 688.26 is: 1,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.68 : 3,629.64 = 688.26 : x
  2. Step 2: Convert to fraction form
    2,419.68/3,629.64 = 688.26/x
  3. Step 3: Cross multiply
    2,419.68x = 3,629.64 × 688.26
  4. Step 4: Simplify right side
    2,419.68x = 2,498,136.03
  5. Step 5: Solve for x
    x = 2,498,136.03/2,419.68
  6. Step 6: Final answer
    x = 1,032.42

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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.