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Finding the Fourth Proportional to 1,109.75, 1,664.61 and 451.62

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Solution

The fourth proportional to 1,109.75, 1,664.61 and 451.62 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.75 : 1,664.61 = 451.62 : x
  2. Step 2: Convert to fraction form
    1,109.75/1,664.61 = 451.62/x
  3. Step 3: Cross multiply
    1,109.75x = 1,664.61 × 451.62
  4. Step 4: Simplify right side
    1,109.75x = 751,771.17
  5. Step 5: Solve for x
    x = 751,771.17/1,109.75
  6. Step 6: Final answer
    x = 677.43

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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.