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Finding the Fourth Proportional to 1,611.42, 2,416.33 and 831.79

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Solution

The fourth proportional to 1,611.42, 2,416.33 and 831.79 is: 1,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.42 : 2,416.33 = 831.79 : x
  2. Step 2: Convert to fraction form
    1,611.42/2,416.33 = 831.79/x
  3. Step 3: Cross multiply
    1,611.42x = 2,416.33 × 831.79
  4. Step 4: Simplify right side
    1,611.42x = 2,009,879.13
  5. Step 5: Solve for x
    x = 2,009,879.13/1,611.42
  6. Step 6: Final answer
    x = 1,247.27

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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.