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Finding the Fourth Proportional to 1,383.16, 2,072.78 and 767.14

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Solution

The fourth proportional to 1,383.16, 2,072.78 and 767.14 is: 1,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.16 : 2,072.78 = 767.14 : x
  2. Step 2: Convert to fraction form
    1,383.16/2,072.78 = 767.14/x
  3. Step 3: Cross multiply
    1,383.16x = 2,072.78 × 767.14
  4. Step 4: Simplify right side
    1,383.16x = 1,590,112.45
  5. Step 5: Solve for x
    x = 1,590,112.45/1,383.16
  6. Step 6: Final answer
    x = 1,149.62

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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.