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Finding the Fourth Proportional to 682.38, 941.19 and 433.74

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Solution

The fourth proportional to 682.38, 941.19 and 433.74 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 941.19 = 433.74 : x
  2. Step 2: Convert to fraction form
    682.38/941.19 = 433.74/x
  3. Step 3: Cross multiply
    682.38x = 941.19 × 433.74
  4. Step 4: Simplify right side
    682.38x = 408,231.75
  5. Step 5: Solve for x
    x = 408,231.75/682.38
  6. Step 6: Final answer
    x = 598.25

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Half scale
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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.