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Finding the Fourth Proportional to 680.10, 1,012.02 and 677.80

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Solution

The fourth proportional to 680.10, 1,012.02 and 677.80 is: 1,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 1,012.02 = 677.80 : x
  2. Step 2: Convert to fraction form
    680.10/1,012.02 = 677.80/x
  3. Step 3: Cross multiply
    680.10x = 1,012.02 × 677.80
  4. Step 4: Simplify right side
    680.10x = 685,944.63
  5. Step 5: Solve for x
    x = 685,944.63/680.10
  6. Step 6: Final answer
    x = 1,008.59

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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.