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Finding the Fourth Proportional to 884.54, 1,220.54 and 506.39

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Solution

The fourth proportional to 884.54, 1,220.54 and 506.39 is: 698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.54 : 1,220.54 = 506.39 : x
  2. Step 2: Convert to fraction form
    884.54/1,220.54 = 506.39/x
  3. Step 3: Cross multiply
    884.54x = 1,220.54 × 506.39
  4. Step 4: Simplify right side
    884.54x = 618,060.62
  5. Step 5: Solve for x
    x = 618,060.62/884.54
  6. Step 6: Final answer
    x = 698.73

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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.