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Finding the Fourth Proportional to 1,200.85, 1,657.41 and 781.56

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Solution

The fourth proportional to 1,200.85, 1,657.41 and 781.56 is: 1,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.85 : 1,657.41 = 781.56 : x
  2. Step 2: Convert to fraction form
    1,200.85/1,657.41 = 781.56/x
  3. Step 3: Cross multiply
    1,200.85x = 1,657.41 × 781.56
  4. Step 4: Simplify right side
    1,200.85x = 1,295,365.36
  5. Step 5: Solve for x
    x = 1,295,365.36/1,200.85
  6. Step 6: Final answer
    x = 1,078.71

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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.