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Finding the Fourth Proportional to 755.38, 1,137.13 and 676

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Solution

The fourth proportional to 755.38, 1,137.13 and 676 is: 1,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.38 : 1,137.13 = 676 : x
  2. Step 2: Convert to fraction form
    755.38/1,137.13 = 676/x
  3. Step 3: Cross multiply
    755.38x = 1,137.13 × 676
  4. Step 4: Simplify right side
    755.38x = 768,699.88
  5. Step 5: Solve for x
    x = 768,699.88/755.38
  6. Step 6: Final answer
    x = 1,017.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.