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Finding the Fourth Proportional to 679.38, 938.25 and 504.42

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Solution

The fourth proportional to 679.38, 938.25 and 504.42 is: 696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.38 : 938.25 = 504.42 : x
  2. Step 2: Convert to fraction form
    679.38/938.25 = 504.42/x
  3. Step 3: Cross multiply
    679.38x = 938.25 × 504.42
  4. Step 4: Simplify right side
    679.38x = 473,272.07
  5. Step 5: Solve for x
    x = 473,272.07/679.38
  6. Step 6: Final answer
    x = 696.62

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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.