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Finding the Fourth Proportional to 1,180, 1,770 and 667.04

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Solution

The fourth proportional to 1,180, 1,770 and 667.04 is: 1,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180 : 1,770 = 667.04 : x
  2. Step 2: Convert to fraction form
    1,180/1,770 = 667.04/x
  3. Step 3: Cross multiply
    1,180x = 1,770 × 667.04
  4. Step 4: Simplify right side
    1,180x = 1,180,660.80
  5. Step 5: Solve for x
    x = 1,180,660.80/1,180
  6. Step 6: Final answer
    x = 1,000.56

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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.