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Finding the Fourth Proportional to 419.44, 575.26 and 409.84

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Solution

The fourth proportional to 419.44, 575.26 and 409.84 is: 562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.44 : 575.26 = 409.84 : x
  2. Step 2: Convert to fraction form
    419.44/575.26 = 409.84/x
  3. Step 3: Cross multiply
    419.44x = 575.26 × 409.84
  4. Step 4: Simplify right side
    419.44x = 235,764.56
  5. Step 5: Solve for x
    x = 235,764.56/419.44
  6. Step 6: Final answer
    x = 562.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.