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Finding the Fourth Proportional to 405.97, 611.92 and 371.34

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Solution

The fourth proportional to 405.97, 611.92 and 371.34 is: 559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.97 : 611.92 = 371.34 : x
  2. Step 2: Convert to fraction form
    405.97/611.92 = 371.34/x
  3. Step 3: Cross multiply
    405.97x = 611.92 × 371.34
  4. Step 4: Simplify right side
    405.97x = 227,229.44
  5. Step 5: Solve for x
    x = 227,229.44/405.97
  6. Step 6: Final answer
    x = 559.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.