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Finding the Fourth Proportional to 1,198.77, 1,654.20 and 701.35

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Solution

The fourth proportional to 1,198.77, 1,654.20 and 701.35 is: 967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.77 : 1,654.20 = 701.35 : x
  2. Step 2: Convert to fraction form
    1,198.77/1,654.20 = 701.35/x
  3. Step 3: Cross multiply
    1,198.77x = 1,654.20 × 701.35
  4. Step 4: Simplify right side
    1,198.77x = 1,160,173.17
  5. Step 5: Solve for x
    x = 1,160,173.17/1,198.77
  6. Step 6: Final answer
    x = 967.80

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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.