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Finding the Fourth Proportional to 1,351.63, 2,028.26 and 486.01

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Solution

The fourth proportional to 1,351.63, 2,028.26 and 486.01 is: 729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.63 : 2,028.26 = 486.01 : x
  2. Step 2: Convert to fraction form
    1,351.63/2,028.26 = 486.01/x
  3. Step 3: Cross multiply
    1,351.63x = 2,028.26 × 486.01
  4. Step 4: Simplify right side
    1,351.63x = 985,754.64
  5. Step 5: Solve for x
    x = 985,754.64/1,351.63
  6. Step 6: Final answer
    x = 729.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.