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Finding the Fourth Proportional to 1,198.54, 1,653.98 and 701.08

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Solution

The fourth proportional to 1,198.54, 1,653.98 and 701.08 is: 967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.54 : 1,653.98 = 701.08 : x
  2. Step 2: Convert to fraction form
    1,198.54/1,653.98 = 701.08/x
  3. Step 3: Cross multiply
    1,198.54x = 1,653.98 × 701.08
  4. Step 4: Simplify right side
    1,198.54x = 1,159,564.66
  5. Step 5: Solve for x
    x = 1,159,564.66/1,198.54
  6. Step 6: Final answer
    x = 967.48

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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.