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Finding the Fourth Proportional to 428.56, 641.56 and 326.24

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Solution

The fourth proportional to 428.56, 641.56 and 326.24 is: 488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 641.56 = 326.24 : x
  2. Step 2: Convert to fraction form
    428.56/641.56 = 326.24/x
  3. Step 3: Cross multiply
    428.56x = 641.56 × 326.24
  4. Step 4: Simplify right side
    428.56x = 209,302.53
  5. Step 5: Solve for x
    x = 209,302.53/428.56
  6. Step 6: Final answer
    x = 488.39

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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.