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Finding the Fourth Proportional to 1,198.58, 1,654.16 and 701.38

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Solution

The fourth proportional to 1,198.58, 1,654.16 and 701.38 is: 967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.58 : 1,654.16 = 701.38 : x
  2. Step 2: Convert to fraction form
    1,198.58/1,654.16 = 701.38/x
  3. Step 3: Cross multiply
    1,198.58x = 1,654.16 × 701.38
  4. Step 4: Simplify right side
    1,198.58x = 1,160,194.74
  5. Step 5: Solve for x
    x = 1,160,194.74/1,198.58
  6. Step 6: Final answer
    x = 967.97

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1.5x scale

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.