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Finding the Fourth Proportional to 596.06, 821.77 and 489.32

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Solution

The fourth proportional to 596.06, 821.77 and 489.32 is: 674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 821.77 = 489.32 : x
  2. Step 2: Convert to fraction form
    596.06/821.77 = 489.32/x
  3. Step 3: Cross multiply
    596.06x = 821.77 × 489.32
  4. Step 4: Simplify right side
    596.06x = 402,106.05
  5. Step 5: Solve for x
    x = 402,106.05/596.06
  6. Step 6: Final answer
    x = 674.61

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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.