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Finding the Fourth Proportional to 2,395.76, 3,593.76 and 664.40

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Solution

The fourth proportional to 2,395.76, 3,593.76 and 664.40 is: 996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.76 : 3,593.76 = 664.40 : x
  2. Step 2: Convert to fraction form
    2,395.76/3,593.76 = 664.40/x
  3. Step 3: Cross multiply
    2,395.76x = 3,593.76 × 664.40
  4. Step 4: Simplify right side
    2,395.76x = 2,387,694.14
  5. Step 5: Solve for x
    x = 2,387,694.14/2,395.76
  6. Step 6: Final answer
    x = 996.63

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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.