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Finding the Fourth Proportional to 1,279, 1,918.52 and 367

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Solution

The fourth proportional to 1,279, 1,918.52 and 367 is: 550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279 : 1,918.52 = 367 : x
  2. Step 2: Convert to fraction form
    1,279/1,918.52 = 367/x
  3. Step 3: Cross multiply
    1,279x = 1,918.52 × 367
  4. Step 4: Simplify right side
    1,279x = 704,096.84
  5. Step 5: Solve for x
    x = 704,096.84/1,279
  6. Step 6: Final answer
    x = 550.51

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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.