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Finding the Fourth Proportional to 490.92, 677.64 and 316.32

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Solution

The fourth proportional to 490.92, 677.64 and 316.32 is: 436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 677.64 = 316.32 : x
  2. Step 2: Convert to fraction form
    490.92/677.64 = 316.32/x
  3. Step 3: Cross multiply
    490.92x = 677.64 × 316.32
  4. Step 4: Simplify right side
    490.92x = 214,351.08
  5. Step 5: Solve for x
    x = 214,351.08/490.92
  6. Step 6: Final answer
    x = 436.63

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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.