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Finding the Fourth Proportional to 421.47, 629.77 and 322.09

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Solution

The fourth proportional to 421.47, 629.77 and 322.09 is: 481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.47 : 629.77 = 322.09 : x
  2. Step 2: Convert to fraction form
    421.47/629.77 = 322.09/x
  3. Step 3: Cross multiply
    421.47x = 629.77 × 322.09
  4. Step 4: Simplify right side
    421.47x = 202,842.62
  5. Step 5: Solve for x
    x = 202,842.62/421.47
  6. Step 6: Final answer
    x = 481.28

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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.