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Finding the Fourth Proportional to 1,107.97, 1,528.73 and 812.72

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Solution

The fourth proportional to 1,107.97, 1,528.73 and 812.72 is: 1,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.97 : 1,528.73 = 812.72 : x
  2. Step 2: Convert to fraction form
    1,107.97/1,528.73 = 812.72/x
  3. Step 3: Cross multiply
    1,107.97x = 1,528.73 × 812.72
  4. Step 4: Simplify right side
    1,107.97x = 1,242,429.45
  5. Step 5: Solve for x
    x = 1,242,429.45/1,107.97
  6. Step 6: Final answer
    x = 1,121.36

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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.