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Finding the Fourth Proportional to 1,755.78, 2,634.11 and 523.19

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Solution

The fourth proportional to 1,755.78, 2,634.11 and 523.19 is: 784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.78 : 2,634.11 = 523.19 : x
  2. Step 2: Convert to fraction form
    1,755.78/2,634.11 = 523.19/x
  3. Step 3: Cross multiply
    1,755.78x = 2,634.11 × 523.19
  4. Step 4: Simplify right side
    1,755.78x = 1,378,124.22
  5. Step 5: Solve for x
    x = 1,378,124.22/1,755.78
  6. Step 6: Final answer
    x = 784.91

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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.