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Finding the Fourth Proportional to 1,620.75, 2,236.77 and 922.26

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Solution

The fourth proportional to 1,620.75, 2,236.77 and 922.26 is: 1,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.75 : 2,236.77 = 922.26 : x
  2. Step 2: Convert to fraction form
    1,620.75/2,236.77 = 922.26/x
  3. Step 3: Cross multiply
    1,620.75x = 2,236.77 × 922.26
  4. Step 4: Simplify right side
    1,620.75x = 2,062,883.50
  5. Step 5: Solve for x
    x = 2,062,883.50/1,620.75
  6. Step 6: Final answer
    x = 1,272.80

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1.5x scale

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.