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Finding the Fourth Proportional to 662.78, 914.66 and 379.28

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Solution

The fourth proportional to 662.78, 914.66 and 379.28 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.78 : 914.66 = 379.28 : x
  2. Step 2: Convert to fraction form
    662.78/914.66 = 379.28/x
  3. Step 3: Cross multiply
    662.78x = 914.66 × 379.28
  4. Step 4: Simplify right side
    662.78x = 346,908.62
  5. Step 5: Solve for x
    x = 346,908.62/662.78
  6. Step 6: Final answer
    x = 523.42

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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.