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Finding the Fourth Proportional to 931.09, 1,396.50 and 519.97

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Solution

The fourth proportional to 931.09, 1,396.50 and 519.97 is: 779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.09 : 1,396.50 = 519.97 : x
  2. Step 2: Convert to fraction form
    931.09/1,396.50 = 519.97/x
  3. Step 3: Cross multiply
    931.09x = 1,396.50 × 519.97
  4. Step 4: Simplify right side
    931.09x = 726,138.11
  5. Step 5: Solve for x
    x = 726,138.11/931.09
  6. Step 6: Final answer
    x = 779.88

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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.