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Finding the Fourth Proportional to 447.60, 617.46 and 412.05

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Solution

The fourth proportional to 447.60, 617.46 and 412.05 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.60 : 617.46 = 412.05 : x
  2. Step 2: Convert to fraction form
    447.60/617.46 = 412.05/x
  3. Step 3: Cross multiply
    447.60x = 617.46 × 412.05
  4. Step 4: Simplify right side
    447.60x = 254,424.39
  5. Step 5: Solve for x
    x = 254,424.39/447.60
  6. Step 6: Final answer
    x = 568.42

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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.