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Finding the Fourth Proportional to 1,107.07, 1,661.30 and 620.44

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Solution

The fourth proportional to 1,107.07, 1,661.30 and 620.44 is: 931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.07 : 1,661.30 = 620.44 : x
  2. Step 2: Convert to fraction form
    1,107.07/1,661.30 = 620.44/x
  3. Step 3: Cross multiply
    1,107.07x = 1,661.30 × 620.44
  4. Step 4: Simplify right side
    1,107.07x = 1,030,736.97
  5. Step 5: Solve for x
    x = 1,030,736.97/1,107.07
  6. Step 6: Final answer
    x = 931.05

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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.