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Finding the Fourth Proportional to 792.38, 1,093.83 and 757.55

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Solution

The fourth proportional to 792.38, 1,093.83 and 757.55 is: 1,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.38 : 1,093.83 = 757.55 : x
  2. Step 2: Convert to fraction form
    792.38/1,093.83 = 757.55/x
  3. Step 3: Cross multiply
    792.38x = 1,093.83 × 757.55
  4. Step 4: Simplify right side
    792.38x = 828,630.92
  5. Step 5: Solve for x
    x = 828,630.92/792.38
  6. Step 6: Final answer
    x = 1,045.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.