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Finding the Fourth Proportional to 1,109.61, 1,664.21 and 451.33

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Solution

The fourth proportional to 1,109.61, 1,664.21 and 451.33 is: 676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.61 : 1,664.21 = 451.33 : x
  2. Step 2: Convert to fraction form
    1,109.61/1,664.21 = 451.33/x
  3. Step 3: Cross multiply
    1,109.61x = 1,664.21 × 451.33
  4. Step 4: Simplify right side
    1,109.61x = 751,104.87
  5. Step 5: Solve for x
    x = 751,104.87/1,109.61
  6. Step 6: Final answer
    x = 676.91

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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.