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Finding the Fourth Proportional to 942.82, 1,414.77 and 813.22

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Solution

The fourth proportional to 942.82, 1,414.77 and 813.22 is: 1,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.82 : 1,414.77 = 813.22 : x
  2. Step 2: Convert to fraction form
    942.82/1,414.77 = 813.22/x
  3. Step 3: Cross multiply
    942.82x = 1,414.77 × 813.22
  4. Step 4: Simplify right side
    942.82x = 1,150,519.26
  5. Step 5: Solve for x
    x = 1,150,519.26/942.82
  6. Step 6: Final answer
    x = 1,220.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.