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Finding the Fourth Proportional to 455.88, 680.43 and 444.96

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Solution

The fourth proportional to 455.88, 680.43 and 444.96 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.88 : 680.43 = 444.96 : x
  2. Step 2: Convert to fraction form
    455.88/680.43 = 444.96/x
  3. Step 3: Cross multiply
    455.88x = 680.43 × 444.96
  4. Step 4: Simplify right side
    455.88x = 302,764.13
  5. Step 5: Solve for x
    x = 302,764.13/455.88
  6. Step 6: Final answer
    x = 664.13

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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.