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Finding the Fourth Proportional to 1,179.76, 1,769.56 and 659.42

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Solution

The fourth proportional to 1,179.76, 1,769.56 and 659.42 is: 989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.76 : 1,769.56 = 659.42 : x
  2. Step 2: Convert to fraction form
    1,179.76/1,769.56 = 659.42/x
  3. Step 3: Cross multiply
    1,179.76x = 1,769.56 × 659.42
  4. Step 4: Simplify right side
    1,179.76x = 1,166,883.26
  5. Step 5: Solve for x
    x = 1,166,883.26/1,179.76
  6. Step 6: Final answer
    x = 989.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.