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Finding the Fourth Proportional to 922.62, 1,272.87 and 712.43

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Solution

The fourth proportional to 922.62, 1,272.87 and 712.43 is: 982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.62 : 1,272.87 = 712.43 : x
  2. Step 2: Convert to fraction form
    922.62/1,272.87 = 712.43/x
  3. Step 3: Cross multiply
    922.62x = 1,272.87 × 712.43
  4. Step 4: Simplify right side
    922.62x = 906,824.41
  5. Step 5: Solve for x
    x = 906,824.41/922.62
  6. Step 6: Final answer
    x = 982.88

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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.