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Finding the Fourth Proportional to 460.44, 687.27 and 421.97

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Solution

The fourth proportional to 460.44, 687.27 and 421.97 is: 629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 687.27 = 421.97 : x
  2. Step 2: Convert to fraction form
    460.44/687.27 = 421.97/x
  3. Step 3: Cross multiply
    460.44x = 687.27 × 421.97
  4. Step 4: Simplify right side
    460.44x = 290,003.89
  5. Step 5: Solve for x
    x = 290,003.89/460.44
  6. Step 6: Final answer
    x = 629.84

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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.