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Finding the Fourth Proportional to 1,107.36, 1,661.04 and 490.68

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Solution

The fourth proportional to 1,107.36, 1,661.04 and 490.68 is: 736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.36 : 1,661.04 = 490.68 : x
  2. Step 2: Convert to fraction form
    1,107.36/1,661.04 = 490.68/x
  3. Step 3: Cross multiply
    1,107.36x = 1,661.04 × 490.68
  4. Step 4: Simplify right side
    1,107.36x = 815,039.11
  5. Step 5: Solve for x
    x = 815,039.11/1,107.36
  6. Step 6: Final answer
    x = 736.02

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Double scale
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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.