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Finding the Fourth Proportional to 618.45, 853.59 and 408.66

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Solution

The fourth proportional to 618.45, 853.59 and 408.66 is: 564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.45 : 853.59 = 408.66 : x
  2. Step 2: Convert to fraction form
    618.45/853.59 = 408.66/x
  3. Step 3: Cross multiply
    618.45x = 853.59 × 408.66
  4. Step 4: Simplify right side
    618.45x = 348,828.09
  5. Step 5: Solve for x
    x = 348,828.09/618.45
  6. Step 6: Final answer
    x = 564.04

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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.