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Finding the Fourth Proportional to 922.08, 1,382.31 and 678.27

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Solution

The fourth proportional to 922.08, 1,382.31 and 678.27 is: 1,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.08 : 1,382.31 = 678.27 : x
  2. Step 2: Convert to fraction form
    922.08/1,382.31 = 678.27/x
  3. Step 3: Cross multiply
    922.08x = 1,382.31 × 678.27
  4. Step 4: Simplify right side
    922.08x = 937,579.40
  5. Step 5: Solve for x
    x = 937,579.40/922.08
  6. Step 6: Final answer
    x = 1,016.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.