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Finding the Fourth Proportional to 1,221.91, 1,685.84 and 779.96

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Solution

The fourth proportional to 1,221.91, 1,685.84 and 779.96 is: 1,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.91 : 1,685.84 = 779.96 : x
  2. Step 2: Convert to fraction form
    1,221.91/1,685.84 = 779.96/x
  3. Step 3: Cross multiply
    1,221.91x = 1,685.84 × 779.96
  4. Step 4: Simplify right side
    1,221.91x = 1,314,887.77
  5. Step 5: Solve for x
    x = 1,314,887.77/1,221.91
  6. Step 6: Final answer
    x = 1,076.09

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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.