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Finding the Fourth Proportional to 412.66, 622.64 and 409.42

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Solution

The fourth proportional to 412.66, 622.64 and 409.42 is: 617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.66 : 622.64 = 409.42 : x
  2. Step 2: Convert to fraction form
    412.66/622.64 = 409.42/x
  3. Step 3: Cross multiply
    412.66x = 622.64 × 409.42
  4. Step 4: Simplify right side
    412.66x = 254,921.27
  5. Step 5: Solve for x
    x = 254,921.27/412.66
  6. Step 6: Final answer
    x = 617.75

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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.