Home / 1,634.17-2,450.04-769.09

Finding the Fourth Proportional to 1,634.17, 2,450.04 and 769.09

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Solution

The fourth proportional to 1,634.17, 2,450.04 and 769.09 is: 1,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.17 : 2,450.04 = 769.09 : x
  2. Step 2: Convert to fraction form
    1,634.17/2,450.04 = 769.09/x
  3. Step 3: Cross multiply
    1,634.17x = 2,450.04 × 769.09
  4. Step 4: Simplify right side
    1,634.17x = 1,884,301.26
  5. Step 5: Solve for x
    x = 1,884,301.26/1,634.17
  6. Step 6: Final answer
    x = 1,153.06

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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.