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Finding the Fourth Proportional to 1,198.19, 1,653.78 and 701.06

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Solution

The fourth proportional to 1,198.19, 1,653.78 and 701.06 is: 967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.19 : 1,653.78 = 701.06 : x
  2. Step 2: Convert to fraction form
    1,198.19/1,653.78 = 701.06/x
  3. Step 3: Cross multiply
    1,198.19x = 1,653.78 × 701.06
  4. Step 4: Simplify right side
    1,198.19x = 1,159,399.01
  5. Step 5: Solve for x
    x = 1,159,399.01/1,198.19
  6. Step 6: Final answer
    x = 967.63

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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.