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Finding the Fourth Proportional to 1,109.74, 1,664.79 and 379.15

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Solution

The fourth proportional to 1,109.74, 1,664.79 and 379.15 is: 568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.74 : 1,664.79 = 379.15 : x
  2. Step 2: Convert to fraction form
    1,109.74/1,664.79 = 379.15/x
  3. Step 3: Cross multiply
    1,109.74x = 1,664.79 × 379.15
  4. Step 4: Simplify right side
    1,109.74x = 631,194.91
  5. Step 5: Solve for x
    x = 631,194.91/1,109.74
  6. Step 6: Final answer
    x = 568.78

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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.