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Finding the Fourth Proportional to 884.09, 1,220.19 and 505.96

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Solution

The fourth proportional to 884.09, 1,220.19 and 505.96 is: 698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.09 : 1,220.19 = 505.96 : x
  2. Step 2: Convert to fraction form
    884.09/1,220.19 = 505.96/x
  3. Step 3: Cross multiply
    884.09x = 1,220.19 × 505.96
  4. Step 4: Simplify right side
    884.09x = 617,367.33
  5. Step 5: Solve for x
    x = 617,367.33/884.09
  6. Step 6: Final answer
    x = 698.31

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Double scale
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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.