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Finding the Fourth Proportional to 804.12, 1,102.26 and 792.78

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Solution

The fourth proportional to 804.12, 1,102.26 and 792.78 is: 1,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.12 : 1,102.26 = 792.78 : x
  2. Step 2: Convert to fraction form
    804.12/1,102.26 = 792.78/x
  3. Step 3: Cross multiply
    804.12x = 1,102.26 × 792.78
  4. Step 4: Simplify right side
    804.12x = 873,849.68
  5. Step 5: Solve for x
    x = 873,849.68/804.12
  6. Step 6: Final answer
    x = 1,086.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.