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Finding the Fourth Proportional to 456.22, 682.47 and 332.05

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Solution

The fourth proportional to 456.22, 682.47 and 332.05 is: 496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 682.47 = 332.05 : x
  2. Step 2: Convert to fraction form
    456.22/682.47 = 332.05/x
  3. Step 3: Cross multiply
    456.22x = 682.47 × 332.05
  4. Step 4: Simplify right side
    456.22x = 226,614.16
  5. Step 5: Solve for x
    x = 226,614.16/456.22
  6. Step 6: Final answer
    x = 496.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.