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Finding the Fourth Proportional to 490.71, 676.96 and 313.59

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Solution

The fourth proportional to 490.71, 676.96 and 313.59 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.71 : 676.96 = 313.59 : x
  2. Step 2: Convert to fraction form
    490.71/676.96 = 313.59/x
  3. Step 3: Cross multiply
    490.71x = 676.96 × 313.59
  4. Step 4: Simplify right side
    490.71x = 212,285.83
  5. Step 5: Solve for x
    x = 212,285.83/490.71
  6. Step 6: Final answer
    x = 432.61

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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.