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Finding the Fourth Proportional to 683.64, 943.36 and 388.83

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Solution

The fourth proportional to 683.64, 943.36 and 388.83 is: 536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 943.36 = 388.83 : x
  2. Step 2: Convert to fraction form
    683.64/943.36 = 388.83/x
  3. Step 3: Cross multiply
    683.64x = 943.36 × 388.83
  4. Step 4: Simplify right side
    683.64x = 366,806.67
  5. Step 5: Solve for x
    x = 366,806.67/683.64
  6. Step 6: Final answer
    x = 536.55

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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.