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Finding the Fourth Proportional to 1,198.72, 1,654.14 and 701.29

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Solution

The fourth proportional to 1,198.72, 1,654.14 and 701.29 is: 967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.72 : 1,654.14 = 701.29 : x
  2. Step 2: Convert to fraction form
    1,198.72/1,654.14 = 701.29/x
  3. Step 3: Cross multiply
    1,198.72x = 1,654.14 × 701.29
  4. Step 4: Simplify right side
    1,198.72x = 1,160,031.84
  5. Step 5: Solve for x
    x = 1,160,031.84/1,198.72
  6. Step 6: Final answer
    x = 967.73

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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.