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Finding the Fourth Proportional to 1,694.10, 2,540.16 and 719.70

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Solution

The fourth proportional to 1,694.10, 2,540.16 and 719.70 is: 1,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.10 : 2,540.16 = 719.70 : x
  2. Step 2: Convert to fraction form
    1,694.10/2,540.16 = 719.70/x
  3. Step 3: Cross multiply
    1,694.10x = 2,540.16 × 719.70
  4. Step 4: Simplify right side
    1,694.10x = 1,828,153.15
  5. Step 5: Solve for x
    x = 1,828,153.15/1,694.10
  6. Step 6: Final answer
    x = 1,079.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.