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Finding the Fourth Proportional to 722.44, 1,076.27 and 687.61

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Solution

The fourth proportional to 722.44, 1,076.27 and 687.61 is: 1,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 1,076.27 = 687.61 : x
  2. Step 2: Convert to fraction form
    722.44/1,076.27 = 687.61/x
  3. Step 3: Cross multiply
    722.44x = 1,076.27 × 687.61
  4. Step 4: Simplify right side
    722.44x = 740,054.01
  5. Step 5: Solve for x
    x = 740,054.01/722.44
  6. Step 6: Final answer
    x = 1,024.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.