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Finding the Fourth Proportional to 618.87, 854.06 and 339.11

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Solution

The fourth proportional to 618.87, 854.06 and 339.11 is: 467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.87 : 854.06 = 339.11 : x
  2. Step 2: Convert to fraction form
    618.87/854.06 = 339.11/x
  3. Step 3: Cross multiply
    618.87x = 854.06 × 339.11
  4. Step 4: Simplify right side
    618.87x = 289,620.29
  5. Step 5: Solve for x
    x = 289,620.29/618.87
  6. Step 6: Final answer
    x = 467.98

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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.