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Finding the Fourth Proportional to 494.94, 680.16 and 401.49

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Solution

The fourth proportional to 494.94, 680.16 and 401.49 is: 551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.94 : 680.16 = 401.49 : x
  2. Step 2: Convert to fraction form
    494.94/680.16 = 401.49/x
  3. Step 3: Cross multiply
    494.94x = 680.16 × 401.49
  4. Step 4: Simplify right side
    494.94x = 273,078.94
  5. Step 5: Solve for x
    x = 273,078.94/494.94
  6. Step 6: Final answer
    x = 551.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.