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Finding the Fourth Proportional to 883.59, 1,321.74 and 831.75

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Solution

The fourth proportional to 883.59, 1,321.74 and 831.75 is: 1,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.59 : 1,321.74 = 831.75 : x
  2. Step 2: Convert to fraction form
    883.59/1,321.74 = 831.75/x
  3. Step 3: Cross multiply
    883.59x = 1,321.74 × 831.75
  4. Step 4: Simplify right side
    883.59x = 1,099,357.25
  5. Step 5: Solve for x
    x = 1,099,357.25/883.59
  6. Step 6: Final answer
    x = 1,244.19

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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.