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Finding the Fourth Proportional to 662.97, 914.84 and 397.34

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Solution

The fourth proportional to 662.97, 914.84 and 397.34 is: 548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.97 : 914.84 = 397.34 : x
  2. Step 2: Convert to fraction form
    662.97/914.84 = 397.34/x
  3. Step 3: Cross multiply
    662.97x = 914.84 × 397.34
  4. Step 4: Simplify right side
    662.97x = 363,504.47
  5. Step 5: Solve for x
    x = 363,504.47/662.97
  6. Step 6: Final answer
    x = 548.29

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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.