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Finding the Fourth Proportional to 927.60, 1,278.58 and 678.96

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Solution

The fourth proportional to 927.60, 1,278.58 and 678.96 is: 935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.60 : 1,278.58 = 678.96 : x
  2. Step 2: Convert to fraction form
    927.60/1,278.58 = 678.96/x
  3. Step 3: Cross multiply
    927.60x = 1,278.58 × 678.96
  4. Step 4: Simplify right side
    927.60x = 868,104.68
  5. Step 5: Solve for x
    x = 868,104.68/927.60
  6. Step 6: Final answer
    x = 935.86

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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.