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Finding the Fourth Proportional to 596.89, 823.46 and 360.84

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Solution

The fourth proportional to 596.89, 823.46 and 360.84 is: 497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.89 : 823.46 = 360.84 : x
  2. Step 2: Convert to fraction form
    596.89/823.46 = 360.84/x
  3. Step 3: Cross multiply
    596.89x = 823.46 × 360.84
  4. Step 4: Simplify right side
    596.89x = 297,137.31
  5. Step 5: Solve for x
    x = 297,137.31/596.89
  6. Step 6: Final answer
    x = 497.81

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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.