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Finding the Fourth Proportional to 422.67, 633.54 and 285.68

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Solution

The fourth proportional to 422.67, 633.54 and 285.68 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.67 : 633.54 = 285.68 : x
  2. Step 2: Convert to fraction form
    422.67/633.54 = 285.68/x
  3. Step 3: Cross multiply
    422.67x = 633.54 × 285.68
  4. Step 4: Simplify right side
    422.67x = 180,989.71
  5. Step 5: Solve for x
    x = 180,989.71/422.67
  6. Step 6: Final answer
    x = 428.21

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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.