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Finding the Fourth Proportional to 2,396.40, 3,594.24 and 664.88

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Solution

The fourth proportional to 2,396.40, 3,594.24 and 664.88 is: 997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.40 : 3,594.24 = 664.88 : x
  2. Step 2: Convert to fraction form
    2,396.40/3,594.24 = 664.88/x
  3. Step 3: Cross multiply
    2,396.40x = 3,594.24 × 664.88
  4. Step 4: Simplify right side
    2,396.40x = 2,389,738.29
  5. Step 5: Solve for x
    x = 2,389,738.29/2,396.40
  6. Step 6: Final answer
    x = 997.22

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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.