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Finding the Fourth Proportional to 685.03, 1,026.80 and 338.23

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Solution

The fourth proportional to 685.03, 1,026.80 and 338.23 is: 506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.03 : 1,026.80 = 338.23 : x
  2. Step 2: Convert to fraction form
    685.03/1,026.80 = 338.23/x
  3. Step 3: Cross multiply
    685.03x = 1,026.80 × 338.23
  4. Step 4: Simplify right side
    685.03x = 347,290.60
  5. Step 5: Solve for x
    x = 347,290.60/685.03
  6. Step 6: Final answer
    x = 506.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.