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Finding the Fourth Proportional to 1,295.78, 1,944.05 and 679.40

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Solution

The fourth proportional to 1,295.78, 1,944.05 and 679.40 is: 1,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.78 : 1,944.05 = 679.40 : x
  2. Step 2: Convert to fraction form
    1,295.78/1,944.05 = 679.40/x
  3. Step 3: Cross multiply
    1,295.78x = 1,944.05 × 679.40
  4. Step 4: Simplify right side
    1,295.78x = 1,320,794.13
  5. Step 5: Solve for x
    x = 1,320,794.13/1,295.78
  6. Step 6: Final answer
    x = 1,019.31

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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.