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Finding the Fourth Proportional to 596.45, 828.62 and 591.11

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Solution

The fourth proportional to 596.45, 828.62 and 591.11 is: 821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 828.62 = 591.11 : x
  2. Step 2: Convert to fraction form
    596.45/828.62 = 591.11/x
  3. Step 3: Cross multiply
    596.45x = 828.62 × 591.11
  4. Step 4: Simplify right side
    596.45x = 489,805.57
  5. Step 5: Solve for x
    x = 489,805.57/596.45
  6. Step 6: Final answer
    x = 821.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.