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Finding the Fourth Proportional to 428.82, 639.46 and 424.92

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Solution

The fourth proportional to 428.82, 639.46 and 424.92 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.82 : 639.46 = 424.92 : x
  2. Step 2: Convert to fraction form
    428.82/639.46 = 424.92/x
  3. Step 3: Cross multiply
    428.82x = 639.46 × 424.92
  4. Step 4: Simplify right side
    428.82x = 271,716.68
  5. Step 5: Solve for x
    x = 271,716.68/428.82
  6. Step 6: Final answer
    x = 633.65

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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.