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Finding the Fourth Proportional to 889.75, 1,227.21 and 594.49

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Solution

The fourth proportional to 889.75, 1,227.21 and 594.49 is: 819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.75 : 1,227.21 = 594.49 : x
  2. Step 2: Convert to fraction form
    889.75/1,227.21 = 594.49/x
  3. Step 3: Cross multiply
    889.75x = 1,227.21 × 594.49
  4. Step 4: Simplify right side
    889.75x = 729,564.07
  5. Step 5: Solve for x
    x = 729,564.07/889.75
  6. Step 6: Final answer
    x = 819.97

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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.