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Finding the Fourth Proportional to 1,106.96, 1,661.08 and 490.73

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Solution

The fourth proportional to 1,106.96, 1,661.08 and 490.73 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.96 : 1,661.08 = 490.73 : x
  2. Step 2: Convert to fraction form
    1,106.96/1,661.08 = 490.73/x
  3. Step 3: Cross multiply
    1,106.96x = 1,661.08 × 490.73
  4. Step 4: Simplify right side
    1,106.96x = 815,140.33
  5. Step 5: Solve for x
    x = 815,140.33/1,106.96
  6. Step 6: Final answer
    x = 736.38

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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.