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Finding the Fourth Proportional to 939.43, 1,296.35 and 513.97

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Solution

The fourth proportional to 939.43, 1,296.35 and 513.97 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.43 : 1,296.35 = 513.97 : x
  2. Step 2: Convert to fraction form
    939.43/1,296.35 = 513.97/x
  3. Step 3: Cross multiply
    939.43x = 1,296.35 × 513.97
  4. Step 4: Simplify right side
    939.43x = 666,282.57
  5. Step 5: Solve for x
    x = 666,282.57/939.43
  6. Step 6: Final answer
    x = 709.24

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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.