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Finding the Fourth Proportional to 1,012.62, 1,396.62 and 680.40

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Solution

The fourth proportional to 1,012.62, 1,396.62 and 680.40 is: 938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.62 : 1,396.62 = 680.40 : x
  2. Step 2: Convert to fraction form
    1,012.62/1,396.62 = 680.40/x
  3. Step 3: Cross multiply
    1,012.62x = 1,396.62 × 680.40
  4. Step 4: Simplify right side
    1,012.62x = 950,260.25
  5. Step 5: Solve for x
    x = 950,260.25/1,012.62
  6. Step 6: Final answer
    x = 938.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.