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Finding the Fourth Proportional to 422.31, 633.47 and 285.02

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Solution

The fourth proportional to 422.31, 633.47 and 285.02 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.31 : 633.47 = 285.02 : x
  2. Step 2: Convert to fraction form
    422.31/633.47 = 285.02/x
  3. Step 3: Cross multiply
    422.31x = 633.47 × 285.02
  4. Step 4: Simplify right side
    422.31x = 180,551.01
  5. Step 5: Solve for x
    x = 180,551.01/422.31
  6. Step 6: Final answer
    x = 427.53

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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.