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Finding the Fourth Proportional to 1,286.15, 1,929.33 and 361.71

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Solution

The fourth proportional to 1,286.15, 1,929.33 and 361.71 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.15 : 1,929.33 = 361.71 : x
  2. Step 2: Convert to fraction form
    1,286.15/1,929.33 = 361.71/x
  3. Step 3: Cross multiply
    1,286.15x = 1,929.33 × 361.71
  4. Step 4: Simplify right side
    1,286.15x = 697,857.95
  5. Step 5: Solve for x
    x = 697,857.95/1,286.15
  6. Step 6: Final answer
    x = 542.59

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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.