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Finding the Fourth Proportional to 814.26, 1,122.17 and 578.21

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Solution

The fourth proportional to 814.26, 1,122.17 and 578.21 is: 796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.26 : 1,122.17 = 578.21 : x
  2. Step 2: Convert to fraction form
    814.26/1,122.17 = 578.21/x
  3. Step 3: Cross multiply
    814.26x = 1,122.17 × 578.21
  4. Step 4: Simplify right side
    814.26x = 648,850.88
  5. Step 5: Solve for x
    x = 648,850.88/814.26
  6. Step 6: Final answer
    x = 796.86

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Double scale
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1.5x scale

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.