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Finding the Fourth Proportional to 682.75, 1,017.30 and 680.02

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Solution

The fourth proportional to 682.75, 1,017.30 and 680.02 is: 1,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.75 : 1,017.30 = 680.02 : x
  2. Step 2: Convert to fraction form
    682.75/1,017.30 = 680.02/x
  3. Step 3: Cross multiply
    682.75x = 1,017.30 × 680.02
  4. Step 4: Simplify right side
    682.75x = 691,782.43
  5. Step 5: Solve for x
    x = 691,782.43/682.75
  6. Step 6: Final answer
    x = 1,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.