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Finding the Fourth Proportional to 682.20, 941.40 and 461.16

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Solution

The fourth proportional to 682.20, 941.40 and 461.16 is: 636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 941.40 = 461.16 : x
  2. Step 2: Convert to fraction form
    682.20/941.40 = 461.16/x
  3. Step 3: Cross multiply
    682.20x = 941.40 × 461.16
  4. Step 4: Simplify right side
    682.20x = 434,136.02
  5. Step 5: Solve for x
    x = 434,136.02/682.20
  6. Step 6: Final answer
    x = 636.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 683.20, 942.78 and 462.16
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.