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Finding the Fourth Proportional to 494.85, 738.81 and 378.66

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Solution

The fourth proportional to 494.85, 738.81 and 378.66 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.85 : 738.81 = 378.66 : x
  2. Step 2: Convert to fraction form
    494.85/738.81 = 378.66/x
  3. Step 3: Cross multiply
    494.85x = 738.81 × 378.66
  4. Step 4: Simplify right side
    494.85x = 279,757.79
  5. Step 5: Solve for x
    x = 279,757.79/494.85
  6. Step 6: Final answer
    x = 565.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.