Home / 1,220.20-1,684.16-827.60

Finding the Fourth Proportional to 1,220.20, 1,684.16 and 827.60

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Solution

The fourth proportional to 1,220.20, 1,684.16 and 827.60 is: 1,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.20 : 1,684.16 = 827.60 : x
  2. Step 2: Convert to fraction form
    1,220.20/1,684.16 = 827.60/x
  3. Step 3: Cross multiply
    1,220.20x = 1,684.16 × 827.60
  4. Step 4: Simplify right side
    1,220.20x = 1,393,810.82
  5. Step 5: Solve for x
    x = 1,393,810.82/1,220.20
  6. Step 6: Final answer
    x = 1,142.28

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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.