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Finding the Fourth Proportional to 844.93, 1,163.59 and 687.29

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Solution

The fourth proportional to 844.93, 1,163.59 and 687.29 is: 946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.93 : 1,163.59 = 687.29 : x
  2. Step 2: Convert to fraction form
    844.93/1,163.59 = 687.29/x
  3. Step 3: Cross multiply
    844.93x = 1,163.59 × 687.29
  4. Step 4: Simplify right side
    844.93x = 799,718.17
  5. Step 5: Solve for x
    x = 799,718.17/844.93
  6. Step 6: Final answer
    x = 946.49

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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.