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Finding the Fourth Proportional to 412.14, 620.62 and 297.38

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Solution

The fourth proportional to 412.14, 620.62 and 297.38 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.14 : 620.62 = 297.38 : x
  2. Step 2: Convert to fraction form
    412.14/620.62 = 297.38/x
  3. Step 3: Cross multiply
    412.14x = 620.62 × 297.38
  4. Step 4: Simplify right side
    412.14x = 184,559.98
  5. Step 5: Solve for x
    x = 184,559.98/412.14
  6. Step 6: Final answer
    x = 447.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.