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Finding the Fourth Proportional to 811.29, 1,215.92 and 445.44

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Solution

The fourth proportional to 811.29, 1,215.92 and 445.44 is: 667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.29 : 1,215.92 = 445.44 : x
  2. Step 2: Convert to fraction form
    811.29/1,215.92 = 445.44/x
  3. Step 3: Cross multiply
    811.29x = 1,215.92 × 445.44
  4. Step 4: Simplify right side
    811.29x = 541,611.10
  5. Step 5: Solve for x
    x = 541,611.10/811.29
  6. Step 6: Final answer
    x = 667.60

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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.