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Finding the Fourth Proportional to 937.45, 1,405.87 and 321.14

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Solution

The fourth proportional to 937.45, 1,405.87 and 321.14 is: 481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.45 : 1,405.87 = 321.14 : x
  2. Step 2: Convert to fraction form
    937.45/1,405.87 = 321.14/x
  3. Step 3: Cross multiply
    937.45x = 1,405.87 × 321.14
  4. Step 4: Simplify right side
    937.45x = 451,483.80
  5. Step 5: Solve for x
    x = 451,483.80/937.45
  6. Step 6: Final answer
    x = 481.61

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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.