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Finding the Fourth Proportional to 1,219.36, 1,681.96 and 825.68

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Solution

The fourth proportional to 1,219.36, 1,681.96 and 825.68 is: 1,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.36 : 1,681.96 = 825.68 : x
  2. Step 2: Convert to fraction form
    1,219.36/1,681.96 = 825.68/x
  3. Step 3: Cross multiply
    1,219.36x = 1,681.96 × 825.68
  4. Step 4: Simplify right side
    1,219.36x = 1,388,760.73
  5. Step 5: Solve for x
    x = 1,388,760.73/1,219.36
  6. Step 6: Final answer
    x = 1,138.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.