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Finding the Fourth Proportional to 889.78, 1,227.63 and 516.73

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Solution

The fourth proportional to 889.78, 1,227.63 and 516.73 is: 712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.78 : 1,227.63 = 516.73 : x
  2. Step 2: Convert to fraction form
    889.78/1,227.63 = 516.73/x
  3. Step 3: Cross multiply
    889.78x = 1,227.63 × 516.73
  4. Step 4: Simplify right side
    889.78x = 634,353.25
  5. Step 5: Solve for x
    x = 634,353.25/889.78
  6. Step 6: Final answer
    x = 712.93

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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.