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Finding the Fourth Proportional to 633.02, 872.67 and 422.82

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Solution

The fourth proportional to 633.02, 872.67 and 422.82 is: 582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.02 : 872.67 = 422.82 : x
  2. Step 2: Convert to fraction form
    633.02/872.67 = 422.82/x
  3. Step 3: Cross multiply
    633.02x = 872.67 × 422.82
  4. Step 4: Simplify right side
    633.02x = 368,983.91
  5. Step 5: Solve for x
    x = 368,983.91/633.02
  6. Step 6: Final answer
    x = 582.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.