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Finding the Fourth Proportional to 412.85, 620.49 and 269.48

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Solution

The fourth proportional to 412.85, 620.49 and 269.48 is: 405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.85 : 620.49 = 269.48 : x
  2. Step 2: Convert to fraction form
    412.85/620.49 = 269.48/x
  3. Step 3: Cross multiply
    412.85x = 620.49 × 269.48
  4. Step 4: Simplify right side
    412.85x = 167,212.21
  5. Step 5: Solve for x
    x = 167,212.21/412.85
  6. Step 6: Final answer
    x = 405.02

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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.