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Finding the Fourth Proportional to 803.87, 1,205.19 and 641.46

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Solution

The fourth proportional to 803.87, 1,205.19 and 641.46 is: 961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.87 : 1,205.19 = 641.46 : x
  2. Step 2: Convert to fraction form
    803.87/1,205.19 = 641.46/x
  3. Step 3: Cross multiply
    803.87x = 1,205.19 × 641.46
  4. Step 4: Simplify right side
    803.87x = 773,081.18
  5. Step 5: Solve for x
    x = 773,081.18/803.87
  6. Step 6: Final answer
    x = 961.71

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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.