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Finding the Fourth Proportional to 600.55, 828.08 and 489.68

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Solution

The fourth proportional to 600.55, 828.08 and 489.68 is: 675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.55 : 828.08 = 489.68 : x
  2. Step 2: Convert to fraction form
    600.55/828.08 = 489.68/x
  3. Step 3: Cross multiply
    600.55x = 828.08 × 489.68
  4. Step 4: Simplify right side
    600.55x = 405,491.77
  5. Step 5: Solve for x
    x = 405,491.77/600.55
  6. Step 6: Final answer
    x = 675.20

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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.