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Finding the Fourth Proportional to 755.27, 1,137.09 and 591.62

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Solution

The fourth proportional to 755.27, 1,137.09 and 591.62 is: 890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.27 : 1,137.09 = 591.62 : x
  2. Step 2: Convert to fraction form
    755.27/1,137.09 = 591.62/x
  3. Step 3: Cross multiply
    755.27x = 1,137.09 × 591.62
  4. Step 4: Simplify right side
    755.27x = 672,716.54
  5. Step 5: Solve for x
    x = 672,716.54/755.27
  6. Step 6: Final answer
    x = 890.70

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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.