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Finding the Fourth Proportional to 449.28, 668.34 and 444.60

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Solution

The fourth proportional to 449.28, 668.34 and 444.60 is: 661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 668.34 = 444.60 : x
  2. Step 2: Convert to fraction form
    449.28/668.34 = 444.60/x
  3. Step 3: Cross multiply
    449.28x = 668.34 × 444.60
  4. Step 4: Simplify right side
    449.28x = 297,143.96
  5. Step 5: Solve for x
    x = 297,143.96/449.28
  6. Step 6: Final answer
    x = 661.38

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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.