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Finding the Fourth Proportional to 813.26, 1,220.07 and 447.86

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Solution

The fourth proportional to 813.26, 1,220.07 and 447.86 is: 671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.26 : 1,220.07 = 447.86 : x
  2. Step 2: Convert to fraction form
    813.26/1,220.07 = 447.86/x
  3. Step 3: Cross multiply
    813.26x = 1,220.07 × 447.86
  4. Step 4: Simplify right side
    813.26x = 546,414.45
  5. Step 5: Solve for x
    x = 546,414.45/813.26
  6. Step 6: Final answer
    x = 671.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.