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Finding the Fourth Proportional to 683.07, 1,023.72 and 438.85

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Solution

The fourth proportional to 683.07, 1,023.72 and 438.85 is: 657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.07 : 1,023.72 = 438.85 : x
  2. Step 2: Convert to fraction form
    683.07/1,023.72 = 438.85/x
  3. Step 3: Cross multiply
    683.07x = 1,023.72 × 438.85
  4. Step 4: Simplify right side
    683.07x = 449,259.52
  5. Step 5: Solve for x
    x = 449,259.52/683.07
  6. Step 6: Final answer
    x = 657.71

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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.