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Finding the Fourth Proportional to 599.67, 826.87 and 488.81

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Solution

The fourth proportional to 599.67, 826.87 and 488.81 is: 673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 826.87 = 488.81 : x
  2. Step 2: Convert to fraction form
    599.67/826.87 = 488.81/x
  3. Step 3: Cross multiply
    599.67x = 826.87 × 488.81
  4. Step 4: Simplify right side
    599.67x = 404,176.97
  5. Step 5: Solve for x
    x = 404,176.97/599.67
  6. Step 6: Final answer
    x = 673.99

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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.