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Finding the Fourth Proportional to 680.35, 938.91 and 431.56

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Solution

The fourth proportional to 680.35, 938.91 and 431.56 is: 595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.35 : 938.91 = 431.56 : x
  2. Step 2: Convert to fraction form
    680.35/938.91 = 431.56/x
  3. Step 3: Cross multiply
    680.35x = 938.91 × 431.56
  4. Step 4: Simplify right side
    680.35x = 405,196.00
  5. Step 5: Solve for x
    x = 405,196.00/680.35
  6. Step 6: Final answer
    x = 595.57

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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.