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Finding the Fourth Proportional to 803.98, 1,205.27 and 310.73

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Solution

The fourth proportional to 803.98, 1,205.27 and 310.73 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.98 : 1,205.27 = 310.73 : x
  2. Step 2: Convert to fraction form
    803.98/1,205.27 = 310.73/x
  3. Step 3: Cross multiply
    803.98x = 1,205.27 × 310.73
  4. Step 4: Simplify right side
    803.98x = 374,512.23
  5. Step 5: Solve for x
    x = 374,512.23/803.98
  6. Step 6: Final answer
    x = 465.83

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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.