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Finding the Fourth Proportional to 446.80, 617.34 and 397.24

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Solution

The fourth proportional to 446.80, 617.34 and 397.24 is: 548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 617.34 = 397.24 : x
  2. Step 2: Convert to fraction form
    446.80/617.34 = 397.24/x
  3. Step 3: Cross multiply
    446.80x = 617.34 × 397.24
  4. Step 4: Simplify right side
    446.80x = 245,232.14
  5. Step 5: Solve for x
    x = 245,232.14/446.80
  6. Step 6: Final answer
    x = 548.86

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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.