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Finding the Fourth Proportional to 443.95, 664.90 and 428.57

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Solution

The fourth proportional to 443.95, 664.90 and 428.57 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.95 : 664.90 = 428.57 : x
  2. Step 2: Convert to fraction form
    443.95/664.90 = 428.57/x
  3. Step 3: Cross multiply
    443.95x = 664.90 × 428.57
  4. Step 4: Simplify right side
    443.95x = 284,954.05
  5. Step 5: Solve for x
    x = 284,954.05/443.95
  6. Step 6: Final answer
    x = 641.86

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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.