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Finding the Fourth Proportional to 927.06, 1,280.79 and 878.46

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Solution

The fourth proportional to 927.06, 1,280.79 and 878.46 is: 1,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.06 : 1,280.79 = 878.46 : x
  2. Step 2: Convert to fraction form
    927.06/1,280.79 = 878.46/x
  3. Step 3: Cross multiply
    927.06x = 1,280.79 × 878.46
  4. Step 4: Simplify right side
    927.06x = 1,125,122.78
  5. Step 5: Solve for x
    x = 1,125,122.78/927.06
  6. Step 6: Final answer
    x = 1,213.65

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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.