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Finding the Fourth Proportional to 819.96, 1,230.90 and 455.04

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Solution

The fourth proportional to 819.96, 1,230.90 and 455.04 is: 683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.96 : 1,230.90 = 455.04 : x
  2. Step 2: Convert to fraction form
    819.96/1,230.90 = 455.04/x
  3. Step 3: Cross multiply
    819.96x = 1,230.90 × 455.04
  4. Step 4: Simplify right side
    819.96x = 560,108.74
  5. Step 5: Solve for x
    x = 560,108.74/819.96
  6. Step 6: Final answer
    x = 683.09

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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.