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Finding the Fourth Proportional to 880.22, 1,214.67 and 481.86

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Solution

The fourth proportional to 880.22, 1,214.67 and 481.86 is: 664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.22 : 1,214.67 = 481.86 : x
  2. Step 2: Convert to fraction form
    880.22/1,214.67 = 481.86/x
  3. Step 3: Cross multiply
    880.22x = 1,214.67 × 481.86
  4. Step 4: Simplify right side
    880.22x = 585,300.89
  5. Step 5: Solve for x
    x = 585,300.89/880.22
  6. Step 6: Final answer
    x = 664.95

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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.