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Finding the Fourth Proportional to 600.40, 828.93 and 489.70

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Solution

The fourth proportional to 600.40, 828.93 and 489.70 is: 676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 828.93 = 489.70 : x
  2. Step 2: Convert to fraction form
    600.40/828.93 = 489.70/x
  3. Step 3: Cross multiply
    600.40x = 828.93 × 489.70
  4. Step 4: Simplify right side
    600.40x = 405,927.02
  5. Step 5: Solve for x
    x = 405,927.02/600.40
  6. Step 6: Final answer
    x = 676.09

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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.