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Finding the Fourth Proportional to 819.91, 1,131.46 and 446.89

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Solution

The fourth proportional to 819.91, 1,131.46 and 446.89 is: 616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.91 : 1,131.46 = 446.89 : x
  2. Step 2: Convert to fraction form
    819.91/1,131.46 = 446.89/x
  3. Step 3: Cross multiply
    819.91x = 1,131.46 × 446.89
  4. Step 4: Simplify right side
    819.91x = 505,638.16
  5. Step 5: Solve for x
    x = 505,638.16/819.91
  6. Step 6: Final answer
    x = 616.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.