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Finding the Fourth Proportional to 1,270.89, 1,906.40 and 394.00

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Solution

The fourth proportional to 1,270.89, 1,906.40 and 394.00 is: 591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.89 : 1,906.40 = 394.00 : x
  2. Step 2: Convert to fraction form
    1,270.89/1,906.40 = 394.00/x
  3. Step 3: Cross multiply
    1,270.89x = 1,906.40 × 394.00
  4. Step 4: Simplify right side
    1,270.89x = 751,114.86
  5. Step 5: Solve for x
    x = 751,114.86/1,270.89
  6. Step 6: Final answer
    x = 591.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.