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Finding the Fourth Proportional to 599.30, 827.50 and 489.95

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Solution

The fourth proportional to 599.30, 827.50 and 489.95 is: 676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.30 : 827.50 = 489.95 : x
  2. Step 2: Convert to fraction form
    599.30/827.50 = 489.95/x
  3. Step 3: Cross multiply
    599.30x = 827.50 × 489.95
  4. Step 4: Simplify right side
    599.30x = 405,429.49
  5. Step 5: Solve for x
    x = 405,429.49/599.30
  6. Step 6: Final answer
    x = 676.51

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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.