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Finding the Fourth Proportional to 1,189.40, 1,781.70 and 675.80

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Solution

The fourth proportional to 1,189.40, 1,781.70 and 675.80 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.40 : 1,781.70 = 675.80 : x
  2. Step 2: Convert to fraction form
    1,189.40/1,781.70 = 675.80/x
  3. Step 3: Cross multiply
    1,189.40x = 1,781.70 × 675.80
  4. Step 4: Simplify right side
    1,189.40x = 1,204,072.86
  5. Step 5: Solve for x
    x = 1,204,072.86/1,189.40
  6. Step 6: Final answer
    x = 1,012.34

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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.