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Finding the Fourth Proportional to 843.56, 1,267.02 and 741.80

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Solution

The fourth proportional to 843.56, 1,267.02 and 741.80 is: 1,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.56 : 1,267.02 = 741.80 : x
  2. Step 2: Convert to fraction form
    843.56/1,267.02 = 741.80/x
  3. Step 3: Cross multiply
    843.56x = 1,267.02 × 741.80
  4. Step 4: Simplify right side
    843.56x = 939,875.44
  5. Step 5: Solve for x
    x = 939,875.44/843.56
  6. Step 6: Final answer
    x = 1,114.18

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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.