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Finding the Fourth Proportional to 490.32, 676.87 and 313.52

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Solution

The fourth proportional to 490.32, 676.87 and 313.52 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 676.87 = 313.52 : x
  2. Step 2: Convert to fraction form
    490.32/676.87 = 313.52/x
  3. Step 3: Cross multiply
    490.32x = 676.87 × 313.52
  4. Step 4: Simplify right side
    490.32x = 212,212.28
  5. Step 5: Solve for x
    x = 212,212.28/490.32
  6. Step 6: Final answer
    x = 432.80

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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.