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Finding the Fourth Proportional to 460.02, 638.97 and 447.06

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Solution

The fourth proportional to 460.02, 638.97 and 447.06 is: 620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 638.97 = 447.06 : x
  2. Step 2: Convert to fraction form
    460.02/638.97 = 447.06/x
  3. Step 3: Cross multiply
    460.02x = 638.97 × 447.06
  4. Step 4: Simplify right side
    460.02x = 285,658.65
  5. Step 5: Solve for x
    x = 285,658.65/460.02
  6. Step 6: Final answer
    x = 620.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.