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Finding the Fourth Proportional to 1,234.41, 1,851.26 and 844.31

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Solution

The fourth proportional to 1,234.41, 1,851.26 and 844.31 is: 1,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.41 : 1,851.26 = 844.31 : x
  2. Step 2: Convert to fraction form
    1,234.41/1,851.26 = 844.31/x
  3. Step 3: Cross multiply
    1,234.41x = 1,851.26 × 844.31
  4. Step 4: Simplify right side
    1,234.41x = 1,563,023.85
  5. Step 5: Solve for x
    x = 1,563,023.85/1,234.41
  6. Step 6: Final answer
    x = 1,266.21

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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.