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Finding the Fourth Proportional to 1,344.36, 1,855.44 and 820.74

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Solution

The fourth proportional to 1,344.36, 1,855.44 and 820.74 is: 1,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.36 : 1,855.44 = 820.74 : x
  2. Step 2: Convert to fraction form
    1,344.36/1,855.44 = 820.74/x
  3. Step 3: Cross multiply
    1,344.36x = 1,855.44 × 820.74
  4. Step 4: Simplify right side
    1,344.36x = 1,522,833.83
  5. Step 5: Solve for x
    x = 1,522,833.83/1,344.36
  6. Step 6: Final answer
    x = 1,132.76

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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.