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Finding the Fourth Proportional to 662.91, 994.73 and 278.43

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Solution

The fourth proportional to 662.91, 994.73 and 278.43 is: 417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.91 : 994.73 = 278.43 : x
  2. Step 2: Convert to fraction form
    662.91/994.73 = 278.43/x
  3. Step 3: Cross multiply
    662.91x = 994.73 × 278.43
  4. Step 4: Simplify right side
    662.91x = 276,961.28
  5. Step 5: Solve for x
    x = 276,961.28/662.91
  6. Step 6: Final answer
    x = 417.80

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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.