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Finding the Fourth Proportional to 475.72, 653.00 and 422.09

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Solution

The fourth proportional to 475.72, 653.00 and 422.09 is: 579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 653.00 = 422.09 : x
  2. Step 2: Convert to fraction form
    475.72/653.00 = 422.09/x
  3. Step 3: Cross multiply
    475.72x = 653.00 × 422.09
  4. Step 4: Simplify right side
    475.72x = 275,625.92
  5. Step 5: Solve for x
    x = 275,625.92/475.72
  6. Step 6: Final answer
    x = 579.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.