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Finding the Fourth Proportional to 428.09, 641.57 and 415.62

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Solution

The fourth proportional to 428.09, 641.57 and 415.62 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.09 : 641.57 = 415.62 : x
  2. Step 2: Convert to fraction form
    428.09/641.57 = 415.62/x
  3. Step 3: Cross multiply
    428.09x = 641.57 × 415.62
  4. Step 4: Simplify right side
    428.09x = 266,647.25
  5. Step 5: Solve for x
    x = 266,647.25/428.09
  6. Step 6: Final answer
    x = 622.88

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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.