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Finding the Fourth Proportional to 428.29, 641.67 and 414.01

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Solution

The fourth proportional to 428.29, 641.67 and 414.01 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.29 : 641.67 = 414.01 : x
  2. Step 2: Convert to fraction form
    428.29/641.67 = 414.01/x
  3. Step 3: Cross multiply
    428.29x = 641.67 × 414.01
  4. Step 4: Simplify right side
    428.29x = 265,659.38
  5. Step 5: Solve for x
    x = 265,659.38/428.29
  6. Step 6: Final answer
    x = 620.28

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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.