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Finding the Fourth Proportional to 667.81, 922.01 and 431.86

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Solution

The fourth proportional to 667.81, 922.01 and 431.86 is: 596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.81 : 922.01 = 431.86 : x
  2. Step 2: Convert to fraction form
    667.81/922.01 = 431.86/x
  3. Step 3: Cross multiply
    667.81x = 922.01 × 431.86
  4. Step 4: Simplify right side
    667.81x = 398,179.24
  5. Step 5: Solve for x
    x = 398,179.24/667.81
  6. Step 6: Final answer
    x = 596.25

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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.