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Finding the Fourth Proportional to 866.97, 1,299.45 and 520.11

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Solution

The fourth proportional to 866.97, 1,299.45 and 520.11 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.97 : 1,299.45 = 520.11 : x
  2. Step 2: Convert to fraction form
    866.97/1,299.45 = 520.11/x
  3. Step 3: Cross multiply
    866.97x = 1,299.45 × 520.11
  4. Step 4: Simplify right side
    866.97x = 675,856.94
  5. Step 5: Solve for x
    x = 675,856.94/866.97
  6. Step 6: Final answer
    x = 779.56

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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.