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Finding the Fourth Proportional to 412.05, 613.43 and 409.62

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Solution

The fourth proportional to 412.05, 613.43 and 409.62 is: 609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 613.43 = 409.62 : x
  2. Step 2: Convert to fraction form
    412.05/613.43 = 409.62/x
  3. Step 3: Cross multiply
    412.05x = 613.43 × 409.62
  4. Step 4: Simplify right side
    412.05x = 251,271.15
  5. Step 5: Solve for x
    x = 251,271.15/412.05
  6. Step 6: Final answer
    x = 609.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.