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Finding the Fourth Proportional to 605.08, 835.86 and 489.16

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Solution

The fourth proportional to 605.08, 835.86 and 489.16 is: 675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.08 : 835.86 = 489.16 : x
  2. Step 2: Convert to fraction form
    605.08/835.86 = 489.16/x
  3. Step 3: Cross multiply
    605.08x = 835.86 × 489.16
  4. Step 4: Simplify right side
    605.08x = 408,869.28
  5. Step 5: Solve for x
    x = 408,869.28/605.08
  6. Step 6: Final answer
    x = 675.73

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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.