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Finding the Fourth Proportional to 598.96, 819.17 and 596.80

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Solution

The fourth proportional to 598.96, 819.17 and 596.80 is: 816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.96 : 819.17 = 596.80 : x
  2. Step 2: Convert to fraction form
    598.96/819.17 = 596.80/x
  3. Step 3: Cross multiply
    598.96x = 819.17 × 596.80
  4. Step 4: Simplify right side
    598.96x = 488,880.66
  5. Step 5: Solve for x
    x = 488,880.66/598.96
  6. Step 6: Final answer
    x = 816.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.