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Finding the Fourth Proportional to 490.66, 677.38 and 377.72

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Solution

The fourth proportional to 490.66, 677.38 and 377.72 is: 521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.66 : 677.38 = 377.72 : x
  2. Step 2: Convert to fraction form
    490.66/677.38 = 377.72/x
  3. Step 3: Cross multiply
    490.66x = 677.38 × 377.72
  4. Step 4: Simplify right side
    490.66x = 255,859.97
  5. Step 5: Solve for x
    x = 255,859.97/490.66
  6. Step 6: Final answer
    x = 521.46

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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.