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Finding the Fourth Proportional to 1,717.45, 2,576.69 and 677.60

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Solution

The fourth proportional to 1,717.45, 2,576.69 and 677.60 is: 1,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.45 : 2,576.69 = 677.60 : x
  2. Step 2: Convert to fraction form
    1,717.45/2,576.69 = 677.60/x
  3. Step 3: Cross multiply
    1,717.45x = 2,576.69 × 677.60
  4. Step 4: Simplify right side
    1,717.45x = 1,745,965.14
  5. Step 5: Solve for x
    x = 1,745,965.14/1,717.45
  6. Step 6: Final answer
    x = 1,016.60

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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.