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Finding the Fourth Proportional to 682.38, 941.38 and 461.25

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Solution

The fourth proportional to 682.38, 941.38 and 461.25 is: 636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 941.38 = 461.25 : x
  2. Step 2: Convert to fraction form
    682.38/941.38 = 461.25/x
  3. Step 3: Cross multiply
    682.38x = 941.38 × 461.25
  4. Step 4: Simplify right side
    682.38x = 434,211.53
  5. Step 5: Solve for x
    x = 434,211.53/682.38
  6. Step 6: Final answer
    x = 636.32

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Half scale
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Double scale
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Similar ratio
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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.