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Finding the Fourth Proportional to 831.73, 1,245.96 and 392.41

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Solution

The fourth proportional to 831.73, 1,245.96 and 392.41 is: 587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.73 : 1,245.96 = 392.41 : x
  2. Step 2: Convert to fraction form
    831.73/1,245.96 = 392.41/x
  3. Step 3: Cross multiply
    831.73x = 1,245.96 × 392.41
  4. Step 4: Simplify right side
    831.73x = 488,927.16
  5. Step 5: Solve for x
    x = 488,927.16/831.73
  6. Step 6: Final answer
    x = 587.84

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Why These Related Problems?

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