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Finding the Fourth Proportional to 1,340.87, 1,850.90 and 1,200.74

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Solution

The fourth proportional to 1,340.87, 1,850.90 and 1,200.74 is: 1,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.87 : 1,850.90 = 1,200.74 : x
  2. Step 2: Convert to fraction form
    1,340.87/1,850.90 = 1,200.74/x
  3. Step 3: Cross multiply
    1,340.87x = 1,850.90 × 1,200.74
  4. Step 4: Simplify right side
    1,340.87x = 2,222,449.67
  5. Step 5: Solve for x
    x = 2,222,449.67/1,340.87
  6. Step 6: Final answer
    x = 1,657.47

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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.