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Finding the Fourth Proportional to 456.22, 682.71 and 433.54

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Solution

The fourth proportional to 456.22, 682.71 and 433.54 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 682.71 = 433.54 : x
  2. Step 2: Convert to fraction form
    456.22/682.71 = 433.54/x
  3. Step 3: Cross multiply
    456.22x = 682.71 × 433.54
  4. Step 4: Simplify right side
    456.22x = 295,982.09
  5. Step 5: Solve for x
    x = 295,982.09/456.22
  6. Step 6: Final answer
    x = 648.77

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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.