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Finding the Fourth Proportional to 811.43, 1,216.79 and 503.27

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Solution

The fourth proportional to 811.43, 1,216.79 and 503.27 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.43 : 1,216.79 = 503.27 : x
  2. Step 2: Convert to fraction form
    811.43/1,216.79 = 503.27/x
  3. Step 3: Cross multiply
    811.43x = 1,216.79 × 503.27
  4. Step 4: Simplify right side
    811.43x = 612,371.39
  5. Step 5: Solve for x
    x = 612,371.39/811.43
  6. Step 6: Final answer
    x = 754.68

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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.