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Finding the Fourth Proportional to 1,328.56, 1,991.12 and 841.44

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Solution

The fourth proportional to 1,328.56, 1,991.12 and 841.44 is: 1,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.56 : 1,991.12 = 841.44 : x
  2. Step 2: Convert to fraction form
    1,328.56/1,991.12 = 841.44/x
  3. Step 3: Cross multiply
    1,328.56x = 1,991.12 × 841.44
  4. Step 4: Simplify right side
    1,328.56x = 1,675,408.01
  5. Step 5: Solve for x
    x = 1,675,408.01/1,328.56
  6. Step 6: Final answer
    x = 1,261.07

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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.