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Finding the Fourth Proportional to 680.54, 938.78 and 431.66

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Solution

The fourth proportional to 680.54, 938.78 and 431.66 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.54 : 938.78 = 431.66 : x
  2. Step 2: Convert to fraction form
    680.54/938.78 = 431.66/x
  3. Step 3: Cross multiply
    680.54x = 938.78 × 431.66
  4. Step 4: Simplify right side
    680.54x = 405,233.77
  5. Step 5: Solve for x
    x = 405,233.77/680.54
  6. Step 6: Final answer
    x = 595.46

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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.