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Finding the Fourth Proportional to 596.12, 821.89 and 385.93

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Solution

The fourth proportional to 596.12, 821.89 and 385.93 is: 532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 821.89 = 385.93 : x
  2. Step 2: Convert to fraction form
    596.12/821.89 = 385.93/x
  3. Step 3: Cross multiply
    596.12x = 821.89 × 385.93
  4. Step 4: Simplify right side
    596.12x = 317,185.97
  5. Step 5: Solve for x
    x = 317,185.97/596.12
  6. Step 6: Final answer
    x = 532.08

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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.