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Finding the Fourth Proportional to 679.96, 938.74 and 522.29

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Solution

The fourth proportional to 679.96, 938.74 and 522.29 is: 721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.96 : 938.74 = 522.29 : x
  2. Step 2: Convert to fraction form
    679.96/938.74 = 522.29/x
  3. Step 3: Cross multiply
    679.96x = 938.74 × 522.29
  4. Step 4: Simplify right side
    679.96x = 490,292.14
  5. Step 5: Solve for x
    x = 490,292.14/679.96
  6. Step 6: Final answer
    x = 721.06

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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.