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Finding the Fourth Proportional to 831.58, 1,247.38 and 254.44

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Solution

The fourth proportional to 831.58, 1,247.38 and 254.44 is: 381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.58 : 1,247.38 = 254.44 : x
  2. Step 2: Convert to fraction form
    831.58/1,247.38 = 254.44/x
  3. Step 3: Cross multiply
    831.58x = 1,247.38 × 254.44
  4. Step 4: Simplify right side
    831.58x = 317,383.37
  5. Step 5: Solve for x
    x = 317,383.37/831.58
  6. Step 6: Final answer
    x = 381.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.