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Finding the Fourth Proportional to 618.65, 854.02 and 394.88

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Solution

The fourth proportional to 618.65, 854.02 and 394.88 is: 545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.65 : 854.02 = 394.88 : x
  2. Step 2: Convert to fraction form
    618.65/854.02 = 394.88/x
  3. Step 3: Cross multiply
    618.65x = 854.02 × 394.88
  4. Step 4: Simplify right side
    618.65x = 337,236.57
  5. Step 5: Solve for x
    x = 337,236.57/618.65
  6. Step 6: Final answer
    x = 545.11

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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.