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Finding the Fourth Proportional to 412.87, 620.21 and 321.74

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Solution

The fourth proportional to 412.87, 620.21 and 321.74 is: 483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.87 : 620.21 = 321.74 : x
  2. Step 2: Convert to fraction form
    412.87/620.21 = 321.74/x
  3. Step 3: Cross multiply
    412.87x = 620.21 × 321.74
  4. Step 4: Simplify right side
    412.87x = 199,546.37
  5. Step 5: Solve for x
    x = 199,546.37/412.87
  6. Step 6: Final answer
    x = 483.32

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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.