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Finding the Fourth Proportional to 884.23, 1,216.42 and 800.39

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Solution

The fourth proportional to 884.23, 1,216.42 and 800.39 is: 1,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.23 : 1,216.42 = 800.39 : x
  2. Step 2: Convert to fraction form
    884.23/1,216.42 = 800.39/x
  3. Step 3: Cross multiply
    884.23x = 1,216.42 × 800.39
  4. Step 4: Simplify right side
    884.23x = 973,611.44
  5. Step 5: Solve for x
    x = 973,611.44/884.23
  6. Step 6: Final answer
    x = 1,101.09

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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.