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Finding the Fourth Proportional to 944.12, 1,302.89 and 660.96

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Solution

The fourth proportional to 944.12, 1,302.89 and 660.96 is: 912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.12 : 1,302.89 = 660.96 : x
  2. Step 2: Convert to fraction form
    944.12/1,302.89 = 660.96/x
  3. Step 3: Cross multiply
    944.12x = 1,302.89 × 660.96
  4. Step 4: Simplify right side
    944.12x = 861,148.36
  5. Step 5: Solve for x
    x = 861,148.36/944.12
  6. Step 6: Final answer
    x = 912.12

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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.