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Finding the Fourth Proportional to 618.81, 853.94 and 339.05

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Solution

The fourth proportional to 618.81, 853.94 and 339.05 is: 467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.81 : 853.94 = 339.05 : x
  2. Step 2: Convert to fraction form
    618.81/853.94 = 339.05/x
  3. Step 3: Cross multiply
    618.81x = 853.94 × 339.05
  4. Step 4: Simplify right side
    618.81x = 289,522.39
  5. Step 5: Solve for x
    x = 289,522.39/618.81
  6. Step 6: Final answer
    x = 467.87

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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.