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Finding the Fourth Proportional to 618.53, 853.58 and 338.77

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Solution

The fourth proportional to 618.53, 853.58 and 338.77 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.53 : 853.58 = 338.77 : x
  2. Step 2: Convert to fraction form
    618.53/853.58 = 338.77/x
  3. Step 3: Cross multiply
    618.53x = 853.58 × 338.77
  4. Step 4: Simplify right side
    618.53x = 289,167.30
  5. Step 5: Solve for x
    x = 289,167.30/618.53
  6. Step 6: Final answer
    x = 467.51

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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.