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Finding the Fourth Proportional to 600.80, 828.42 and 489.93

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Solution

The fourth proportional to 600.80, 828.42 and 489.93 is: 675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 828.42 = 489.93 : x
  2. Step 2: Convert to fraction form
    600.80/828.42 = 489.93/x
  3. Step 3: Cross multiply
    600.80x = 828.42 × 489.93
  4. Step 4: Simplify right side
    600.80x = 405,867.81
  5. Step 5: Solve for x
    x = 405,867.81/600.80
  6. Step 6: Final answer
    x = 675.55

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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.