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Finding the Fourth Proportional to 486.44, 726.52 and 421.64

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Solution

The fourth proportional to 486.44, 726.52 and 421.64 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.44 : 726.52 = 421.64 : x
  2. Step 2: Convert to fraction form
    486.44/726.52 = 421.64/x
  3. Step 3: Cross multiply
    486.44x = 726.52 × 421.64
  4. Step 4: Simplify right side
    486.44x = 306,329.89
  5. Step 5: Solve for x
    x = 306,329.89/486.44
  6. Step 6: Final answer
    x = 629.74

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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.