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Finding the Fourth Proportional to 889.31, 1,227.25 and 496.34

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Solution

The fourth proportional to 889.31, 1,227.25 and 496.34 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.31 : 1,227.25 = 496.34 : x
  2. Step 2: Convert to fraction form
    889.31/1,227.25 = 496.34/x
  3. Step 3: Cross multiply
    889.31x = 1,227.25 × 496.34
  4. Step 4: Simplify right side
    889.31x = 609,128.90
  5. Step 5: Solve for x
    x = 609,128.90/889.31
  6. Step 6: Final answer
    x = 684.94

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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.