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Finding the Fourth Proportional to 667, 920.70 and 460.60

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Solution

The fourth proportional to 667, 920.70 and 460.60 is: 635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    667 : 920.70 = 460.60 : x
  2. Step 2: Convert to fraction form
    667/920.70 = 460.60/x
  3. Step 3: Cross multiply
    667x = 920.70 × 460.60
  4. Step 4: Simplify right side
    667x = 424,074.42
  5. Step 5: Solve for x
    x = 424,074.42/667
  6. Step 6: Final answer
    x = 635.79

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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.