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Finding the Fourth Proportional to 618.86, 854.73 and 480.65

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Solution

The fourth proportional to 618.86, 854.73 and 480.65 is: 663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.86 : 854.73 = 480.65 : x
  2. Step 2: Convert to fraction form
    618.86/854.73 = 480.65/x
  3. Step 3: Cross multiply
    618.86x = 854.73 × 480.65
  4. Step 4: Simplify right side
    618.86x = 410,821.70
  5. Step 5: Solve for x
    x = 410,821.70/618.86
  6. Step 6: Final answer
    x = 663.83

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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.