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Finding the Fourth Proportional to 831.06, 1,252.89 and 786.41

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Solution

The fourth proportional to 831.06, 1,252.89 and 786.41 is: 1,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,252.89 = 786.41 : x
  2. Step 2: Convert to fraction form
    831.06/1,252.89 = 786.41/x
  3. Step 3: Cross multiply
    831.06x = 1,252.89 × 786.41
  4. Step 4: Simplify right side
    831.06x = 985,285.87
  5. Step 5: Solve for x
    x = 985,285.87/831.06
  6. Step 6: Final answer
    x = 1,185.58

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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.