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Finding the Fourth Proportional to 908.98, 1,260.46 and 878.20

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Solution

The fourth proportional to 908.98, 1,260.46 and 878.20 is: 1,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.98 : 1,260.46 = 878.20 : x
  2. Step 2: Convert to fraction form
    908.98/1,260.46 = 878.20/x
  3. Step 3: Cross multiply
    908.98x = 1,260.46 × 878.20
  4. Step 4: Simplify right side
    908.98x = 1,106,935.97
  5. Step 5: Solve for x
    x = 1,106,935.97/908.98
  6. Step 6: Final answer
    x = 1,217.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.