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Finding the Fourth Proportional to 618.18, 927.29 and 422.72

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Solution

The fourth proportional to 618.18, 927.29 and 422.72 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.18 : 927.29 = 422.72 : x
  2. Step 2: Convert to fraction form
    618.18/927.29 = 422.72/x
  3. Step 3: Cross multiply
    618.18x = 927.29 × 422.72
  4. Step 4: Simplify right side
    618.18x = 391,980.45
  5. Step 5: Solve for x
    x = 391,980.45/618.18
  6. Step 6: Final answer
    x = 634.09

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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.