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Finding the Fourth Proportional to 1,107.31, 1,660.41 and 620.23

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Solution

The fourth proportional to 1,107.31, 1,660.41 and 620.23 is: 930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.31 : 1,660.41 = 620.23 : x
  2. Step 2: Convert to fraction form
    1,107.31/1,660.41 = 620.23/x
  3. Step 3: Cross multiply
    1,107.31x = 1,660.41 × 620.23
  4. Step 4: Simplify right side
    1,107.31x = 1,029,836.09
  5. Step 5: Solve for x
    x = 1,029,836.09/1,107.31
  6. Step 6: Final answer
    x = 930.03

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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.