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Finding the Fourth Proportional to 1,222.44, 1,686.48 and 780.20

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Solution

The fourth proportional to 1,222.44, 1,686.48 and 780.20 is: 1,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.44 : 1,686.48 = 780.20 : x
  2. Step 2: Convert to fraction form
    1,222.44/1,686.48 = 780.20/x
  3. Step 3: Cross multiply
    1,222.44x = 1,686.48 × 780.20
  4. Step 4: Simplify right side
    1,222.44x = 1,315,791.70
  5. Step 5: Solve for x
    x = 1,315,791.70/1,222.44
  6. Step 6: Final answer
    x = 1,076.37

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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.