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Finding the Fourth Proportional to 1,719.73, 2,578.68 and 623.80

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Solution

The fourth proportional to 1,719.73, 2,578.68 and 623.80 is: 935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.73 : 2,578.68 = 623.80 : x
  2. Step 2: Convert to fraction form
    1,719.73/2,578.68 = 623.80/x
  3. Step 3: Cross multiply
    1,719.73x = 2,578.68 × 623.80
  4. Step 4: Simplify right side
    1,719.73x = 1,608,580.58
  5. Step 5: Solve for x
    x = 1,608,580.58/1,719.73
  6. Step 6: Final answer
    x = 935.37

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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.