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Finding the Fourth Proportional to 884.08, 1,219.98 and 491.08

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Solution

The fourth proportional to 884.08, 1,219.98 and 491.08 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.08 : 1,219.98 = 491.08 : x
  2. Step 2: Convert to fraction form
    884.08/1,219.98 = 491.08/x
  3. Step 3: Cross multiply
    884.08x = 1,219.98 × 491.08
  4. Step 4: Simplify right side
    884.08x = 599,107.78
  5. Step 5: Solve for x
    x = 599,107.78/884.08
  6. Step 6: Final answer
    x = 677.66

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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.