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Finding the Fourth Proportional to 445.61, 664.48 and 428.33

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Solution

The fourth proportional to 445.61, 664.48 and 428.33 is: 638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.61 : 664.48 = 428.33 : x
  2. Step 2: Convert to fraction form
    445.61/664.48 = 428.33/x
  3. Step 3: Cross multiply
    445.61x = 664.48 × 428.33
  4. Step 4: Simplify right side
    445.61x = 284,616.72
  5. Step 5: Solve for x
    x = 284,616.72/445.61
  6. Step 6: Final answer
    x = 638.71

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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.