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Finding the Fourth Proportional to 447.74, 620.42 and 420.33

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Solution

The fourth proportional to 447.74, 620.42 and 420.33 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 620.42 = 420.33 : x
  2. Step 2: Convert to fraction form
    447.74/620.42 = 420.33/x
  3. Step 3: Cross multiply
    447.74x = 620.42 × 420.33
  4. Step 4: Simplify right side
    447.74x = 260,782.19
  5. Step 5: Solve for x
    x = 260,782.19/447.74
  6. Step 6: Final answer
    x = 582.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.