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Finding the Fourth Proportional to 1,266.75, 1,900.14 and 682.23

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Solution

The fourth proportional to 1,266.75, 1,900.14 and 682.23 is: 1,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.75 : 1,900.14 = 682.23 : x
  2. Step 2: Convert to fraction form
    1,266.75/1,900.14 = 682.23/x
  3. Step 3: Cross multiply
    1,266.75x = 1,900.14 × 682.23
  4. Step 4: Simplify right side
    1,266.75x = 1,296,323.01
  5. Step 5: Solve for x
    x = 1,296,323.01/1,266.75
  6. Step 6: Final answer
    x = 1,023.35

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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.