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Finding the Fourth Proportional to 1,243.44, 1,866.21 and 782.09

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Solution

The fourth proportional to 1,243.44, 1,866.21 and 782.09 is: 1,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.44 : 1,866.21 = 782.09 : x
  2. Step 2: Convert to fraction form
    1,243.44/1,866.21 = 782.09/x
  3. Step 3: Cross multiply
    1,243.44x = 1,866.21 × 782.09
  4. Step 4: Simplify right side
    1,243.44x = 1,459,534.85
  5. Step 5: Solve for x
    x = 1,459,534.85/1,243.44
  6. Step 6: Final answer
    x = 1,173.79

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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.