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Finding the Fourth Proportional to 792.27, 1,188 and 758.61

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Solution

The fourth proportional to 792.27, 1,188 and 758.61 is: 1,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.27 : 1,188 = 758.61 : x
  2. Step 2: Convert to fraction form
    792.27/1,188 = 758.61/x
  3. Step 3: Cross multiply
    792.27x = 1,188 × 758.61
  4. Step 4: Simplify right side
    792.27x = 901,228.68
  5. Step 5: Solve for x
    x = 901,228.68/792.27
  6. Step 6: Final answer
    x = 1,137.53

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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.