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Finding the Fourth Proportional to 449.44, 668.36 and 444.64

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Solution

The fourth proportional to 449.44, 668.36 and 444.64 is: 661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.44 : 668.36 = 444.64 : x
  2. Step 2: Convert to fraction form
    449.44/668.36 = 444.64/x
  3. Step 3: Cross multiply
    449.44x = 668.36 × 444.64
  4. Step 4: Simplify right side
    449.44x = 297,179.59
  5. Step 5: Solve for x
    x = 297,179.59/449.44
  6. Step 6: Final answer
    x = 661.22

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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.