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Finding the Fourth Proportional to 1,170.30, 1,755.44 and 349.14

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Solution

The fourth proportional to 1,170.30, 1,755.44 and 349.14 is: 523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.30 : 1,755.44 = 349.14 : x
  2. Step 2: Convert to fraction form
    1,170.30/1,755.44 = 349.14/x
  3. Step 3: Cross multiply
    1,170.30x = 1,755.44 × 349.14
  4. Step 4: Simplify right side
    1,170.30x = 612,892.58
  5. Step 5: Solve for x
    x = 612,892.58/1,170.30
  6. Step 6: Final answer
    x = 523.71

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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.