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Finding the Fourth Proportional to 1,171.48, 1,755.66 and 440.20

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Solution

The fourth proportional to 1,171.48, 1,755.66 and 440.20 is: 659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.48 : 1,755.66 = 440.20 : x
  2. Step 2: Convert to fraction form
    1,171.48/1,755.66 = 440.20/x
  3. Step 3: Cross multiply
    1,171.48x = 1,755.66 × 440.20
  4. Step 4: Simplify right side
    1,171.48x = 772,841.53
  5. Step 5: Solve for x
    x = 772,841.53/1,171.48
  6. Step 6: Final answer
    x = 659.71

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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.