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Finding the Fourth Proportional to 807.26, 1,106.74 and 792.68

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Solution

The fourth proportional to 807.26, 1,106.74 and 792.68 is: 1,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.26 : 1,106.74 = 792.68 : x
  2. Step 2: Convert to fraction form
    807.26/1,106.74 = 792.68/x
  3. Step 3: Cross multiply
    807.26x = 1,106.74 × 792.68
  4. Step 4: Simplify right side
    807.26x = 877,290.66
  5. Step 5: Solve for x
    x = 877,290.66/807.26
  6. Step 6: Final answer
    x = 1,086.75

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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.