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Finding the Fourth Proportional to 939.15, 1,296.01 and 519.49

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Solution

The fourth proportional to 939.15, 1,296.01 and 519.49 is: 716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.15 : 1,296.01 = 519.49 : x
  2. Step 2: Convert to fraction form
    939.15/1,296.01 = 519.49/x
  3. Step 3: Cross multiply
    939.15x = 1,296.01 × 519.49
  4. Step 4: Simplify right side
    939.15x = 673,264.23
  5. Step 5: Solve for x
    x = 673,264.23/939.15
  6. Step 6: Final answer
    x = 716.89

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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.