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Finding the Fourth Proportional to 681.20, 937.74 and 599.19

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Solution

The fourth proportional to 681.20, 937.74 and 599.19 is: 824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.20 : 937.74 = 599.19 : x
  2. Step 2: Convert to fraction form
    681.20/937.74 = 599.19/x
  3. Step 3: Cross multiply
    681.20x = 937.74 × 599.19
  4. Step 4: Simplify right side
    681.20x = 561,884.43
  5. Step 5: Solve for x
    x = 561,884.43/681.20
  6. Step 6: Final answer
    x = 824.85

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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.