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Finding the Fourth Proportional to 638.36, 879.09 and 598.80

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Solution

The fourth proportional to 638.36, 879.09 and 598.80 is: 824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.36 : 879.09 = 598.80 : x
  2. Step 2: Convert to fraction form
    638.36/879.09 = 598.80/x
  3. Step 3: Cross multiply
    638.36x = 879.09 × 598.80
  4. Step 4: Simplify right side
    638.36x = 526,399.09
  5. Step 5: Solve for x
    x = 526,399.09/638.36
  6. Step 6: Final answer
    x = 824.62

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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.