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Finding the Fourth Proportional to 596.50, 821.22 and 518.84

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Solution

The fourth proportional to 596.50, 821.22 and 518.84 is: 714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 821.22 = 518.84 : x
  2. Step 2: Convert to fraction form
    596.50/821.22 = 518.84/x
  3. Step 3: Cross multiply
    596.50x = 821.22 × 518.84
  4. Step 4: Simplify right side
    596.50x = 426,081.78
  5. Step 5: Solve for x
    x = 426,081.78/596.50
  6. Step 6: Final answer
    x = 714.30

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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.