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Finding the Fourth Proportional to 490.74, 677.46 and 316.38

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Solution

The fourth proportional to 490.74, 677.46 and 316.38 is: 436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 677.46 = 316.38 : x
  2. Step 2: Convert to fraction form
    490.74/677.46 = 316.38/x
  3. Step 3: Cross multiply
    490.74x = 677.46 × 316.38
  4. Step 4: Simplify right side
    490.74x = 214,334.79
  5. Step 5: Solve for x
    x = 214,334.79/490.74
  6. Step 6: Final answer
    x = 436.76

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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.