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Finding the Fourth Proportional to 1,665.97, 2,299.79 and 1,076.79

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Solution

The fourth proportional to 1,665.97, 2,299.79 and 1,076.79 is: 1,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.97 : 2,299.79 = 1,076.79 : x
  2. Step 2: Convert to fraction form
    1,665.97/2,299.79 = 1,076.79/x
  3. Step 3: Cross multiply
    1,665.97x = 2,299.79 × 1,076.79
  4. Step 4: Simplify right side
    1,665.97x = 2,476,390.87
  5. Step 5: Solve for x
    x = 2,476,390.87/1,665.97
  6. Step 6: Final answer
    x = 1,486.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.