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Finding the Fourth Proportional to 836.14, 1,253.93 and 280.73

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Solution

The fourth proportional to 836.14, 1,253.93 and 280.73 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,253.93 = 280.73 : x
  2. Step 2: Convert to fraction form
    836.14/1,253.93 = 280.73/x
  3. Step 3: Cross multiply
    836.14x = 1,253.93 × 280.73
  4. Step 4: Simplify right side
    836.14x = 352,015.77
  5. Step 5: Solve for x
    x = 352,015.77/836.14
  6. Step 6: Final answer
    x = 421.00

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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.