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Finding the Fourth Proportional to 682.39, 941.41 and 420.25

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Solution

The fourth proportional to 682.39, 941.41 and 420.25 is: 579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.39 : 941.41 = 420.25 : x
  2. Step 2: Convert to fraction form
    682.39/941.41 = 420.25/x
  3. Step 3: Cross multiply
    682.39x = 941.41 × 420.25
  4. Step 4: Simplify right side
    682.39x = 395,627.55
  5. Step 5: Solve for x
    x = 395,627.55/682.39
  6. Step 6: Final answer
    x = 579.77

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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.