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Finding the Fourth Proportional to 884.85, 1,220.91 and 491.79

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Solution

The fourth proportional to 884.85, 1,220.91 and 491.79 is: 678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.85 : 1,220.91 = 491.79 : x
  2. Step 2: Convert to fraction form
    884.85/1,220.91 = 491.79/x
  3. Step 3: Cross multiply
    884.85x = 1,220.91 × 491.79
  4. Step 4: Simplify right side
    884.85x = 600,431.33
  5. Step 5: Solve for x
    x = 600,431.33/884.85
  6. Step 6: Final answer
    x = 678.57

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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.