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Finding the Fourth Proportional to 949.22, 1,310.56 and 727.78

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Solution

The fourth proportional to 949.22, 1,310.56 and 727.78 is: 1,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.22 : 1,310.56 = 727.78 : x
  2. Step 2: Convert to fraction form
    949.22/1,310.56 = 727.78/x
  3. Step 3: Cross multiply
    949.22x = 1,310.56 × 727.78
  4. Step 4: Simplify right side
    949.22x = 953,799.36
  5. Step 5: Solve for x
    x = 953,799.36/949.22
  6. Step 6: Final answer
    x = 1,004.82

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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.