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Finding the Fourth Proportional to 453.44, 621.92 and 419.42

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Solution

The fourth proportional to 453.44, 621.92 and 419.42 is: 575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 621.92 = 419.42 : x
  2. Step 2: Convert to fraction form
    453.44/621.92 = 419.42/x
  3. Step 3: Cross multiply
    453.44x = 621.92 × 419.42
  4. Step 4: Simplify right side
    453.44x = 260,845.69
  5. Step 5: Solve for x
    x = 260,845.69/453.44
  6. Step 6: Final answer
    x = 575.26

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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.