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Finding the Fourth Proportional to 683.56, 1,023.66 and 390.34

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Solution

The fourth proportional to 683.56, 1,023.66 and 390.34 is: 584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.56 : 1,023.66 = 390.34 : x
  2. Step 2: Convert to fraction form
    683.56/1,023.66 = 390.34/x
  3. Step 3: Cross multiply
    683.56x = 1,023.66 × 390.34
  4. Step 4: Simplify right side
    683.56x = 399,575.44
  5. Step 5: Solve for x
    x = 399,575.44/683.56
  6. Step 6: Final answer
    x = 584.55

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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.