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Finding the Fourth Proportional to 449.27, 674.36 and 419.49

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Solution

The fourth proportional to 449.27, 674.36 and 419.49 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.27 : 674.36 = 419.49 : x
  2. Step 2: Convert to fraction form
    449.27/674.36 = 419.49/x
  3. Step 3: Cross multiply
    449.27x = 674.36 × 419.49
  4. Step 4: Simplify right side
    449.27x = 282,885.18
  5. Step 5: Solve for x
    x = 282,885.18/449.27
  6. Step 6: Final answer
    x = 629.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.