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Finding the Fourth Proportional to 495.44, 680.64 and 443.66

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Solution

The fourth proportional to 495.44, 680.64 and 443.66 is: 609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.44 : 680.64 = 443.66 : x
  2. Step 2: Convert to fraction form
    495.44/680.64 = 443.66/x
  3. Step 3: Cross multiply
    495.44x = 680.64 × 443.66
  4. Step 4: Simplify right side
    495.44x = 301,972.74
  5. Step 5: Solve for x
    x = 301,972.74/495.44
  6. Step 6: Final answer
    x = 609.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.