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Finding the Fourth Proportional to 1,814.73, 2,722.05 and 582.09

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Solution

The fourth proportional to 1,814.73, 2,722.05 and 582.09 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.73 : 2,722.05 = 582.09 : x
  2. Step 2: Convert to fraction form
    1,814.73/2,722.05 = 582.09/x
  3. Step 3: Cross multiply
    1,814.73x = 2,722.05 × 582.09
  4. Step 4: Simplify right side
    1,814.73x = 1,584,478.08
  5. Step 5: Solve for x
    x = 1,584,478.08/1,814.73
  6. Step 6: Final answer
    x = 873.12

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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.