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Finding the Fourth Proportional to 819.86, 1,226.67 and 454.94

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Solution

The fourth proportional to 819.86, 1,226.67 and 454.94 is: 680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.86 : 1,226.67 = 454.94 : x
  2. Step 2: Convert to fraction form
    819.86/1,226.67 = 454.94/x
  3. Step 3: Cross multiply
    819.86x = 1,226.67 × 454.94
  4. Step 4: Simplify right side
    819.86x = 558,061.25
  5. Step 5: Solve for x
    x = 558,061.25/819.86
  6. Step 6: Final answer
    x = 680.68

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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.