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Finding the Fourth Proportional to 927.83, 1,272.28 and 896.78

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Solution

The fourth proportional to 927.83, 1,272.28 and 896.78 is: 1,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.83 : 1,272.28 = 896.78 : x
  2. Step 2: Convert to fraction form
    927.83/1,272.28 = 896.78/x
  3. Step 3: Cross multiply
    927.83x = 1,272.28 × 896.78
  4. Step 4: Simplify right side
    927.83x = 1,140,955.26
  5. Step 5: Solve for x
    x = 1,140,955.26/927.83
  6. Step 6: Final answer
    x = 1,229.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.