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Finding the Fourth Proportional to 618.27, 853.41 and 408.63

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Solution

The fourth proportional to 618.27, 853.41 and 408.63 is: 564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.27 : 853.41 = 408.63 : x
  2. Step 2: Convert to fraction form
    618.27/853.41 = 408.63/x
  3. Step 3: Cross multiply
    618.27x = 853.41 × 408.63
  4. Step 4: Simplify right side
    618.27x = 348,733.66
  5. Step 5: Solve for x
    x = 348,733.66/618.27
  6. Step 6: Final answer
    x = 564.05

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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.