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Finding the Fourth Proportional to 681.95, 941.12 and 420.12

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Solution

The fourth proportional to 681.95, 941.12 and 420.12 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.95 : 941.12 = 420.12 : x
  2. Step 2: Convert to fraction form
    681.95/941.12 = 420.12/x
  3. Step 3: Cross multiply
    681.95x = 941.12 × 420.12
  4. Step 4: Simplify right side
    681.95x = 395,381.23
  5. Step 5: Solve for x
    x = 395,381.23/681.95
  6. Step 6: Final answer
    x = 579.78

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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.