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Finding the Fourth Proportional to 465.82, 698.32 and 397.78

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Solution

The fourth proportional to 465.82, 698.32 and 397.78 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.82 : 698.32 = 397.78 : x
  2. Step 2: Convert to fraction form
    465.82/698.32 = 397.78/x
  3. Step 3: Cross multiply
    465.82x = 698.32 × 397.78
  4. Step 4: Simplify right side
    465.82x = 277,777.73
  5. Step 5: Solve for x
    x = 277,777.73/465.82
  6. Step 6: Final answer
    x = 596.32

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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.