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Finding the Fourth Proportional to 683.26, 943.27 and 459.52

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Solution

The fourth proportional to 683.26, 943.27 and 459.52 is: 634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.26 : 943.27 = 459.52 : x
  2. Step 2: Convert to fraction form
    683.26/943.27 = 459.52/x
  3. Step 3: Cross multiply
    683.26x = 943.27 × 459.52
  4. Step 4: Simplify right side
    683.26x = 433,451.43
  5. Step 5: Solve for x
    x = 433,451.43/683.26
  6. Step 6: Final answer
    x = 634.39

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Double scale
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1.5x scale

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.