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Finding the Fourth Proportional to 596.12, 821.54 and 396.59

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Solution

The fourth proportional to 596.12, 821.54 and 396.59 is: 546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 821.54 = 396.59 : x
  2. Step 2: Convert to fraction form
    596.12/821.54 = 396.59/x
  3. Step 3: Cross multiply
    596.12x = 821.54 × 396.59
  4. Step 4: Simplify right side
    596.12x = 325,817.59
  5. Step 5: Solve for x
    x = 325,817.59/596.12
  6. Step 6: Final answer
    x = 546.57

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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.