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Finding the Fourth Proportional to 683.71, 943.46 and 421.68

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Solution

The fourth proportional to 683.71, 943.46 and 421.68 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.71 : 943.46 = 421.68 : x
  2. Step 2: Convert to fraction form
    683.71/943.46 = 421.68/x
  3. Step 3: Cross multiply
    683.71x = 943.46 × 421.68
  4. Step 4: Simplify right side
    683.71x = 397,831.39
  5. Step 5: Solve for x
    x = 397,831.39/683.71
  6. Step 6: Final answer
    x = 581.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.