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Finding the Fourth Proportional to 1,198.50, 1,798.32 and 685.50

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Solution

The fourth proportional to 1,198.50, 1,798.32 and 685.50 is: 1,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.50 : 1,798.32 = 685.50 : x
  2. Step 2: Convert to fraction form
    1,198.50/1,798.32 = 685.50/x
  3. Step 3: Cross multiply
    1,198.50x = 1,798.32 × 685.50
  4. Step 4: Simplify right side
    1,198.50x = 1,232,748.36
  5. Step 5: Solve for x
    x = 1,232,748.36/1,198.50
  6. Step 6: Final answer
    x = 1,028.58

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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.