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Finding the Fourth Proportional to 1,611.56, 2,416.78 and 831.97

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Solution

The fourth proportional to 1,611.56, 2,416.78 and 831.97 is: 1,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.56 : 2,416.78 = 831.97 : x
  2. Step 2: Convert to fraction form
    1,611.56/2,416.78 = 831.97/x
  3. Step 3: Cross multiply
    1,611.56x = 2,416.78 × 831.97
  4. Step 4: Simplify right side
    1,611.56x = 2,010,683.45
  5. Step 5: Solve for x
    x = 2,010,683.45/1,611.56
  6. Step 6: Final answer
    x = 1,247.66

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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.