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Finding the Fourth Proportional to 445.44, 664.04 and 438.42

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Solution

The fourth proportional to 445.44, 664.04 and 438.42 is: 653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.44 : 664.04 = 438.42 : x
  2. Step 2: Convert to fraction form
    445.44/664.04 = 438.42/x
  3. Step 3: Cross multiply
    445.44x = 664.04 × 438.42
  4. Step 4: Simplify right side
    445.44x = 291,128.42
  5. Step 5: Solve for x
    x = 291,128.42/445.44
  6. Step 6: Final answer
    x = 653.57

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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.