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Finding the Fourth Proportional to 618.66, 853.74 and 338.90

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Solution

The fourth proportional to 618.66, 853.74 and 338.90 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.66 : 853.74 = 338.90 : x
  2. Step 2: Convert to fraction form
    618.66/853.74 = 338.90/x
  3. Step 3: Cross multiply
    618.66x = 853.74 × 338.90
  4. Step 4: Simplify right side
    618.66x = 289,332.49
  5. Step 5: Solve for x
    x = 289,332.49/618.66
  6. Step 6: Final answer
    x = 467.68

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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.