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Finding the Fourth Proportional to 1,409.28, 1,944.78 and 779.80

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Solution

The fourth proportional to 1,409.28, 1,944.78 and 779.80 is: 1,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.28 : 1,944.78 = 779.80 : x
  2. Step 2: Convert to fraction form
    1,409.28/1,944.78 = 779.80/x
  3. Step 3: Cross multiply
    1,409.28x = 1,944.78 × 779.80
  4. Step 4: Simplify right side
    1,409.28x = 1,516,539.44
  5. Step 5: Solve for x
    x = 1,516,539.44/1,409.28
  6. Step 6: Final answer
    x = 1,076.11

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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.