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Finding the Fourth Proportional to 456.30, 628.97 and 331.97

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Solution

The fourth proportional to 456.30, 628.97 and 331.97 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 628.97 = 331.97 : x
  2. Step 2: Convert to fraction form
    456.30/628.97 = 331.97/x
  3. Step 3: Cross multiply
    456.30x = 628.97 × 331.97
  4. Step 4: Simplify right side
    456.30x = 208,794.37
  5. Step 5: Solve for x
    x = 208,794.37/456.30
  6. Step 6: Final answer
    x = 457.58

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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.