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Finding the Fourth Proportional to 1,231.35, 1,842.99 and 675.21

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Solution

The fourth proportional to 1,231.35, 1,842.99 and 675.21 is: 1,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.35 : 1,842.99 = 675.21 : x
  2. Step 2: Convert to fraction form
    1,231.35/1,842.99 = 675.21/x
  3. Step 3: Cross multiply
    1,231.35x = 1,842.99 × 675.21
  4. Step 4: Simplify right side
    1,231.35x = 1,244,405.28
  5. Step 5: Solve for x
    x = 1,244,405.28/1,231.35
  6. Step 6: Final answer
    x = 1,010.60

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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.