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Finding the Fourth Proportional to 679.50, 938.16 and 427.54

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Solution

The fourth proportional to 679.50, 938.16 and 427.54 is: 590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.50 : 938.16 = 427.54 : x
  2. Step 2: Convert to fraction form
    679.50/938.16 = 427.54/x
  3. Step 3: Cross multiply
    679.50x = 938.16 × 427.54
  4. Step 4: Simplify right side
    679.50x = 401,096.50
  5. Step 5: Solve for x
    x = 401,096.50/679.50
  6. Step 6: Final answer
    x = 590.28

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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.