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Finding the Fourth Proportional to 456.56, 688.46 and 447.92

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Solution

The fourth proportional to 456.56, 688.46 and 447.92 is: 675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 688.46 = 447.92 : x
  2. Step 2: Convert to fraction form
    456.56/688.46 = 447.92/x
  3. Step 3: Cross multiply
    456.56x = 688.46 × 447.92
  4. Step 4: Simplify right side
    456.56x = 308,375.00
  5. Step 5: Solve for x
    x = 308,375.00/456.56
  6. Step 6: Final answer
    x = 675.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.