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Finding the Fourth Proportional to 836.94, 1,253.43 and 489.54

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Solution

The fourth proportional to 836.94, 1,253.43 and 489.54 is: 733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.94 : 1,253.43 = 489.54 : x
  2. Step 2: Convert to fraction form
    836.94/1,253.43 = 489.54/x
  3. Step 3: Cross multiply
    836.94x = 1,253.43 × 489.54
  4. Step 4: Simplify right side
    836.94x = 613,604.12
  5. Step 5: Solve for x
    x = 613,604.12/836.94
  6. Step 6: Final answer
    x = 733.15

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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.