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Finding the Fourth Proportional to 1,273.63, 1,908.17 and 779.79

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Solution

The fourth proportional to 1,273.63, 1,908.17 and 779.79 is: 1,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.63 : 1,908.17 = 779.79 : x
  2. Step 2: Convert to fraction form
    1,273.63/1,908.17 = 779.79/x
  3. Step 3: Cross multiply
    1,273.63x = 1,908.17 × 779.79
  4. Step 4: Simplify right side
    1,273.63x = 1,487,967.99
  5. Step 5: Solve for x
    x = 1,487,967.99/1,273.63
  6. Step 6: Final answer
    x = 1,168.29

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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.