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Finding the Fourth Proportional to 449.52, 670.14 and 445.44

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Solution

The fourth proportional to 449.52, 670.14 and 445.44 is: 664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.52 : 670.14 = 445.44 : x
  2. Step 2: Convert to fraction form
    449.52/670.14 = 445.44/x
  3. Step 3: Cross multiply
    449.52x = 670.14 × 445.44
  4. Step 4: Simplify right side
    449.52x = 298,507.16
  5. Step 5: Solve for x
    x = 298,507.16/449.52
  6. Step 6: Final answer
    x = 664.06

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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.