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Finding the Fourth Proportional to 883.80, 1,219.62 and 490.80

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Solution

The fourth proportional to 883.80, 1,219.62 and 490.80 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.80 : 1,219.62 = 490.80 : x
  2. Step 2: Convert to fraction form
    883.80/1,219.62 = 490.80/x
  3. Step 3: Cross multiply
    883.80x = 1,219.62 × 490.80
  4. Step 4: Simplify right side
    883.80x = 598,589.50
  5. Step 5: Solve for x
    x = 598,589.50/883.80
  6. Step 6: Final answer
    x = 677.29

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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.