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Finding the Fourth Proportional to 1,220.80, 1,820.72 and 1,091.20

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Solution

The fourth proportional to 1,220.80, 1,820.72 and 1,091.20 is: 1,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.80 : 1,820.72 = 1,091.20 : x
  2. Step 2: Convert to fraction form
    1,220.80/1,820.72 = 1,091.20/x
  3. Step 3: Cross multiply
    1,220.80x = 1,820.72 × 1,091.20
  4. Step 4: Simplify right side
    1,220.80x = 1,986,769.66
  5. Step 5: Solve for x
    x = 1,986,769.66/1,220.80
  6. Step 6: Final answer
    x = 1,627.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.