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Finding the Fourth Proportional to 798.14, 1,194.89 and 489.05

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Solution

The fourth proportional to 798.14, 1,194.89 and 489.05 is: 732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.14 : 1,194.89 = 489.05 : x
  2. Step 2: Convert to fraction form
    798.14/1,194.89 = 489.05/x
  3. Step 3: Cross multiply
    798.14x = 1,194.89 × 489.05
  4. Step 4: Simplify right side
    798.14x = 584,358.85
  5. Step 5: Solve for x
    x = 584,358.85/798.14
  6. Step 6: Final answer
    x = 732.15

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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.