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Finding the Fourth Proportional to 879.50, 1,213.34 and 809.55

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Solution

The fourth proportional to 879.50, 1,213.34 and 809.55 is: 1,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.50 : 1,213.34 = 809.55 : x
  2. Step 2: Convert to fraction form
    879.50/1,213.34 = 809.55/x
  3. Step 3: Cross multiply
    879.50x = 1,213.34 × 809.55
  4. Step 4: Simplify right side
    879.50x = 982,255.35
  5. Step 5: Solve for x
    x = 982,255.35/879.50
  6. Step 6: Final answer
    x = 1,116.84

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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.