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Finding the Fourth Proportional to 891.56, 1,227.38 and 766.72

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Solution

The fourth proportional to 891.56, 1,227.38 and 766.72 is: 1,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.56 : 1,227.38 = 766.72 : x
  2. Step 2: Convert to fraction form
    891.56/1,227.38 = 766.72/x
  3. Step 3: Cross multiply
    891.56x = 1,227.38 × 766.72
  4. Step 4: Simplify right side
    891.56x = 941,049.75
  5. Step 5: Solve for x
    x = 941,049.75/891.56
  6. Step 6: Final answer
    x = 1,055.51

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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.