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Finding the Fourth Proportional to 944.39, 1,419.73 and 894.17

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Solution

The fourth proportional to 944.39, 1,419.73 and 894.17 is: 1,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.39 : 1,419.73 = 894.17 : x
  2. Step 2: Convert to fraction form
    944.39/1,419.73 = 894.17/x
  3. Step 3: Cross multiply
    944.39x = 1,419.73 × 894.17
  4. Step 4: Simplify right side
    944.39x = 1,269,481.29
  5. Step 5: Solve for x
    x = 1,269,481.29/944.39
  6. Step 6: Final answer
    x = 1,344.23

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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.