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Finding the Fourth Proportional to 679.75, 938.06 and 369.25

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Solution

The fourth proportional to 679.75, 938.06 and 369.25 is: 509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.75 : 938.06 = 369.25 : x
  2. Step 2: Convert to fraction form
    679.75/938.06 = 369.25/x
  3. Step 3: Cross multiply
    679.75x = 938.06 × 369.25
  4. Step 4: Simplify right side
    679.75x = 346,378.66
  5. Step 5: Solve for x
    x = 346,378.66/679.75
  6. Step 6: Final answer
    x = 509.57

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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.