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Finding the Fourth Proportional to 596.23, 823.07 and 438.87

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Solution

The fourth proportional to 596.23, 823.07 and 438.87 is: 605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.23 : 823.07 = 438.87 : x
  2. Step 2: Convert to fraction form
    596.23/823.07 = 438.87/x
  3. Step 3: Cross multiply
    596.23x = 823.07 × 438.87
  4. Step 4: Simplify right side
    596.23x = 361,220.73
  5. Step 5: Solve for x
    x = 361,220.73/596.23
  6. Step 6: Final answer
    x = 605.84

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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.