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Finding the Fourth Proportional to 813.22, 1,219.83 and 447.82

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Solution

The fourth proportional to 813.22, 1,219.83 and 447.82 is: 671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.22 : 1,219.83 = 447.82 : x
  2. Step 2: Convert to fraction form
    813.22/1,219.83 = 447.82/x
  3. Step 3: Cross multiply
    813.22x = 1,219.83 × 447.82
  4. Step 4: Simplify right side
    813.22x = 546,264.27
  5. Step 5: Solve for x
    x = 546,264.27/813.22
  6. Step 6: Final answer
    x = 671.73

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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.