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Finding the Fourth Proportional to 449.42, 669.34 and 419.36

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Solution

The fourth proportional to 449.42, 669.34 and 419.36 is: 624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.42 : 669.34 = 419.36 : x
  2. Step 2: Convert to fraction form
    449.42/669.34 = 419.36/x
  3. Step 3: Cross multiply
    449.42x = 669.34 × 419.36
  4. Step 4: Simplify right side
    449.42x = 280,694.42
  5. Step 5: Solve for x
    x = 280,694.42/449.42
  6. Step 6: Final answer
    x = 624.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.