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Finding the Fourth Proportional to 683.20, 941.73 and 461.77

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Solution

The fourth proportional to 683.20, 941.73 and 461.77 is: 636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.20 : 941.73 = 461.77 : x
  2. Step 2: Convert to fraction form
    683.20/941.73 = 461.77/x
  3. Step 3: Cross multiply
    683.20x = 941.73 × 461.77
  4. Step 4: Simplify right side
    683.20x = 434,858.58
  5. Step 5: Solve for x
    x = 434,858.58/683.20
  6. Step 6: Final answer
    x = 636.50

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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.