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Finding the Fourth Proportional to 603.54, 834.93 and 489.78

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Solution

The fourth proportional to 603.54, 834.93 and 489.78 is: 677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 834.93 = 489.78 : x
  2. Step 2: Convert to fraction form
    603.54/834.93 = 489.78/x
  3. Step 3: Cross multiply
    603.54x = 834.93 × 489.78
  4. Step 4: Simplify right side
    603.54x = 408,932.02
  5. Step 5: Solve for x
    x = 408,932.02/603.54
  6. Step 6: Final answer
    x = 677.56

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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.