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Finding the Fourth Proportional to 944.87, 1,308.96 and 922.19

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Solution

The fourth proportional to 944.87, 1,308.96 and 922.19 is: 1,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.87 : 1,308.96 = 922.19 : x
  2. Step 2: Convert to fraction form
    944.87/1,308.96 = 922.19/x
  3. Step 3: Cross multiply
    944.87x = 1,308.96 × 922.19
  4. Step 4: Simplify right side
    944.87x = 1,207,103.28
  5. Step 5: Solve for x
    x = 1,207,103.28/944.87
  6. Step 6: Final answer
    x = 1,277.54

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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.