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Finding the Fourth Proportional to 937.11, 1,405.96 and 320.82

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Solution

The fourth proportional to 937.11, 1,405.96 and 320.82 is: 481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.11 : 1,405.96 = 320.82 : x
  2. Step 2: Convert to fraction form
    937.11/1,405.96 = 320.82/x
  3. Step 3: Cross multiply
    937.11x = 1,405.96 × 320.82
  4. Step 4: Simplify right side
    937.11x = 451,059.29
  5. Step 5: Solve for x
    x = 451,059.29/937.11
  6. Step 6: Final answer
    x = 481.33

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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.