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Finding the Fourth Proportional to 683.34, 1,023.39 and 409.16

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Solution

The fourth proportional to 683.34, 1,023.39 and 409.16 is: 612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.34 : 1,023.39 = 409.16 : x
  2. Step 2: Convert to fraction form
    683.34/1,023.39 = 409.16/x
  3. Step 3: Cross multiply
    683.34x = 1,023.39 × 409.16
  4. Step 4: Simplify right side
    683.34x = 418,725.14
  5. Step 5: Solve for x
    x = 418,725.14/683.34
  6. Step 6: Final answer
    x = 612.76

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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.