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Finding the Fourth Proportional to 889.25, 1,227.19 and 490.95

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Solution

The fourth proportional to 889.25, 1,227.19 and 490.95 is: 677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.25 : 1,227.19 = 490.95 : x
  2. Step 2: Convert to fraction form
    889.25/1,227.19 = 490.95/x
  3. Step 3: Cross multiply
    889.25x = 1,227.19 × 490.95
  4. Step 4: Simplify right side
    889.25x = 602,487.70
  5. Step 5: Solve for x
    x = 602,487.70/889.25
  6. Step 6: Final answer
    x = 677.53

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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.