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Finding the Fourth Proportional to 1,794.68, 2,690.98 and 820.26

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Solution

The fourth proportional to 1,794.68, 2,690.98 and 820.26 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.68 : 2,690.98 = 820.26 : x
  2. Step 2: Convert to fraction form
    1,794.68/2,690.98 = 820.26/x
  3. Step 3: Cross multiply
    1,794.68x = 2,690.98 × 820.26
  4. Step 4: Simplify right side
    1,794.68x = 2,207,303.25
  5. Step 5: Solve for x
    x = 2,207,303.25/1,794.68
  6. Step 6: Final answer
    x = 1,229.91

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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.