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Finding the Fourth Proportional to 1,107.97, 1,661.83 and 286.25

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Solution

The fourth proportional to 1,107.97, 1,661.83 and 286.25 is: 429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.97 : 1,661.83 = 286.25 : x
  2. Step 2: Convert to fraction form
    1,107.97/1,661.83 = 286.25/x
  3. Step 3: Cross multiply
    1,107.97x = 1,661.83 × 286.25
  4. Step 4: Simplify right side
    1,107.97x = 475,689.81
  5. Step 5: Solve for x
    x = 475,689.81/1,107.97
  6. Step 6: Final answer
    x = 429.34

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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.