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Finding the Fourth Proportional to 831.98, 1,247.84 and 246.98

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Solution

The fourth proportional to 831.98, 1,247.84 and 246.98 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.98 : 1,247.84 = 246.98 : x
  2. Step 2: Convert to fraction form
    831.98/1,247.84 = 246.98/x
  3. Step 3: Cross multiply
    831.98x = 1,247.84 × 246.98
  4. Step 4: Simplify right side
    831.98x = 308,184.05
  5. Step 5: Solve for x
    x = 308,184.05/831.98
  6. Step 6: Final answer
    x = 370.42

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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.