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Finding the Fourth Proportional to 471.91, 707.87 and 411.09

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Solution

The fourth proportional to 471.91, 707.87 and 411.09 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.91 : 707.87 = 411.09 : x
  2. Step 2: Convert to fraction form
    471.91/707.87 = 411.09/x
  3. Step 3: Cross multiply
    471.91x = 707.87 × 411.09
  4. Step 4: Simplify right side
    471.91x = 290,992.68
  5. Step 5: Solve for x
    x = 290,992.68/471.91
  6. Step 6: Final answer
    x = 616.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.