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Finding the Fourth Proportional to 667.36, 921.39 and 431.41

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Solution

The fourth proportional to 667.36, 921.39 and 431.41 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.36 : 921.39 = 431.41 : x
  2. Step 2: Convert to fraction form
    667.36/921.39 = 431.41/x
  3. Step 3: Cross multiply
    667.36x = 921.39 × 431.41
  4. Step 4: Simplify right side
    667.36x = 397,496.86
  5. Step 5: Solve for x
    x = 397,496.86/667.36
  6. Step 6: Final answer
    x = 595.63

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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.