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Finding the Fourth Proportional to 811.26, 1,119.87 and 633.78

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Solution

The fourth proportional to 811.26, 1,119.87 and 633.78 is: 874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.26 : 1,119.87 = 633.78 : x
  2. Step 2: Convert to fraction form
    811.26/1,119.87 = 633.78/x
  3. Step 3: Cross multiply
    811.26x = 1,119.87 × 633.78
  4. Step 4: Simplify right side
    811.26x = 709,751.21
  5. Step 5: Solve for x
    x = 709,751.21/811.26
  6. Step 6: Final answer
    x = 874.88

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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.