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Finding the Fourth Proportional to 1,693.71, 2,540.03 and 719.19

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Solution

The fourth proportional to 1,693.71, 2,540.03 and 719.19 is: 1,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.71 : 2,540.03 = 719.19 : x
  2. Step 2: Convert to fraction form
    1,693.71/2,540.03 = 719.19/x
  3. Step 3: Cross multiply
    1,693.71x = 2,540.03 × 719.19
  4. Step 4: Simplify right side
    1,693.71x = 1,826,760.58
  5. Step 5: Solve for x
    x = 1,826,760.58/1,693.71
  6. Step 6: Final answer
    x = 1,078.56

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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.