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Finding the Fourth Proportional to 680.90, 933.60 and 664.49

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Solution

The fourth proportional to 680.90, 933.60 and 664.49 is: 911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.90 : 933.60 = 664.49 : x
  2. Step 2: Convert to fraction form
    680.90/933.60 = 664.49/x
  3. Step 3: Cross multiply
    680.90x = 933.60 × 664.49
  4. Step 4: Simplify right side
    680.90x = 620,363.20
  5. Step 5: Solve for x
    x = 620,363.20/680.90
  6. Step 6: Final answer
    x = 911.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.