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Finding the Fourth Proportional to 2,419.40, 3,629.33 and 664.43

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Solution

The fourth proportional to 2,419.40, 3,629.33 and 664.43 is: 996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.40 : 3,629.33 = 664.43 : x
  2. Step 2: Convert to fraction form
    2,419.40/3,629.33 = 664.43/x
  3. Step 3: Cross multiply
    2,419.40x = 3,629.33 × 664.43
  4. Step 4: Simplify right side
    2,419.40x = 2,411,416.75
  5. Step 5: Solve for x
    x = 2,411,416.75/2,419.40
  6. Step 6: Final answer
    x = 996.70

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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.