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Finding the Fourth Proportional to 445.68, 664.67 and 381.09

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Solution

The fourth proportional to 445.68, 664.67 and 381.09 is: 568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.68 : 664.67 = 381.09 : x
  2. Step 2: Convert to fraction form
    445.68/664.67 = 381.09/x
  3. Step 3: Cross multiply
    445.68x = 664.67 × 381.09
  4. Step 4: Simplify right side
    445.68x = 253,297.18
  5. Step 5: Solve for x
    x = 253,297.18/445.68
  6. Step 6: Final answer
    x = 568.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.