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Finding the Fourth Proportional to 1,092.50, 1,644.92 and 963.33

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Solution

The fourth proportional to 1,092.50, 1,644.92 and 963.33 is: 1,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.50 : 1,644.92 = 963.33 : x
  2. Step 2: Convert to fraction form
    1,092.50/1,644.92 = 963.33/x
  3. Step 3: Cross multiply
    1,092.50x = 1,644.92 × 963.33
  4. Step 4: Simplify right side
    1,092.50x = 1,584,600.78
  5. Step 5: Solve for x
    x = 1,584,600.78/1,092.50
  6. Step 6: Final answer
    x = 1,450.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.