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Finding the Fourth Proportional to 447.65, 617.83 and 419.86

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Solution

The fourth proportional to 447.65, 617.83 and 419.86 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.65 : 617.83 = 419.86 : x
  2. Step 2: Convert to fraction form
    447.65/617.83 = 419.86/x
  3. Step 3: Cross multiply
    447.65x = 617.83 × 419.86
  4. Step 4: Simplify right side
    447.65x = 259,400.09
  5. Step 5: Solve for x
    x = 259,400.09/447.65
  6. Step 6: Final answer
    x = 579.47

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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.