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Finding the Fourth Proportional to 2,266.78, 3,400.19 and 685.51

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Solution

The fourth proportional to 2,266.78, 3,400.19 and 685.51 is: 1,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.78 : 3,400.19 = 685.51 : x
  2. Step 2: Convert to fraction form
    2,266.78/3,400.19 = 685.51/x
  3. Step 3: Cross multiply
    2,266.78x = 3,400.19 × 685.51
  4. Step 4: Simplify right side
    2,266.78x = 2,330,852.32
  5. Step 5: Solve for x
    x = 2,330,852.32/2,266.78
  6. Step 6: Final answer
    x = 1,028.27

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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.