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Finding the Fourth Proportional to 922.26, 1,272.90 and 627.36

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Solution

The fourth proportional to 922.26, 1,272.90 and 627.36 is: 865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.26 : 1,272.90 = 627.36 : x
  2. Step 2: Convert to fraction form
    922.26/1,272.90 = 627.36/x
  3. Step 3: Cross multiply
    922.26x = 1,272.90 × 627.36
  4. Step 4: Simplify right side
    922.26x = 798,566.54
  5. Step 5: Solve for x
    x = 798,566.54/922.26
  6. Step 6: Final answer
    x = 865.88

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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.