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Finding the Fourth Proportional to 866.66, 1,299.93 and 379.71

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Solution

The fourth proportional to 866.66, 1,299.93 and 379.71 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.66 : 1,299.93 = 379.71 : x
  2. Step 2: Convert to fraction form
    866.66/1,299.93 = 379.71/x
  3. Step 3: Cross multiply
    866.66x = 1,299.93 × 379.71
  4. Step 4: Simplify right side
    866.66x = 493,589.92
  5. Step 5: Solve for x
    x = 493,589.92/866.66
  6. Step 6: Final answer
    x = 569.53

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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.