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Finding the Fourth Proportional to 1,231.80, 1,848.30 and 769.41

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Solution

The fourth proportional to 1,231.80, 1,848.30 and 769.41 is: 1,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.80 : 1,848.30 = 769.41 : x
  2. Step 2: Convert to fraction form
    1,231.80/1,848.30 = 769.41/x
  3. Step 3: Cross multiply
    1,231.80x = 1,848.30 × 769.41
  4. Step 4: Simplify right side
    1,231.80x = 1,422,100.50
  5. Step 5: Solve for x
    x = 1,422,100.50/1,231.80
  6. Step 6: Final answer
    x = 1,154.49

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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.