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Finding the Fourth Proportional to 3,270.90, 4,906.36 and 805.78

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Solution

The fourth proportional to 3,270.90, 4,906.36 and 805.78 is: 1,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.90 : 4,906.36 = 805.78 : x
  2. Step 2: Convert to fraction form
    3,270.90/4,906.36 = 805.78/x
  3. Step 3: Cross multiply
    3,270.90x = 4,906.36 × 805.78
  4. Step 4: Simplify right side
    3,270.90x = 3,953,422.23
  5. Step 5: Solve for x
    x = 3,953,422.23/3,270.90
  6. Step 6: Final answer
    x = 1,208.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.