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Finding the Fourth Proportional to 632.22, 872.81 and 484.39

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Solution

The fourth proportional to 632.22, 872.81 and 484.39 is: 668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.22 : 872.81 = 484.39 : x
  2. Step 2: Convert to fraction form
    632.22/872.81 = 484.39/x
  3. Step 3: Cross multiply
    632.22x = 872.81 × 484.39
  4. Step 4: Simplify right side
    632.22x = 422,780.44
  5. Step 5: Solve for x
    x = 422,780.44/632.22
  6. Step 6: Final answer
    x = 668.72

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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.