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Finding the Fourth Proportional to 619.86, 856.11 and 481.65

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Solution

The fourth proportional to 619.86, 856.11 and 481.65 is: 665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.86 : 856.11 = 481.65 : x
  2. Step 2: Convert to fraction form
    619.86/856.11 = 481.65/x
  3. Step 3: Cross multiply
    619.86x = 856.11 × 481.65
  4. Step 4: Simplify right side
    619.86x = 412,345.38
  5. Step 5: Solve for x
    x = 412,345.38/619.86
  6. Step 6: Final answer
    x = 665.22

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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.