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Finding the Fourth Proportional to 1,344.50, 1,855.44 and 820.82

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Solution

The fourth proportional to 1,344.50, 1,855.44 and 820.82 is: 1,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.50 : 1,855.44 = 820.82 : x
  2. Step 2: Convert to fraction form
    1,344.50/1,855.44 = 820.82/x
  3. Step 3: Cross multiply
    1,344.50x = 1,855.44 × 820.82
  4. Step 4: Simplify right side
    1,344.50x = 1,522,982.26
  5. Step 5: Solve for x
    x = 1,522,982.26/1,344.50
  6. Step 6: Final answer
    x = 1,132.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.