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Finding the Fourth Proportional to 667.75, 921.90 and 431.80

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Solution

The fourth proportional to 667.75, 921.90 and 431.80 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.75 : 921.90 = 431.80 : x
  2. Step 2: Convert to fraction form
    667.75/921.90 = 431.80/x
  3. Step 3: Cross multiply
    667.75x = 921.90 × 431.80
  4. Step 4: Simplify right side
    667.75x = 398,076.42
  5. Step 5: Solve for x
    x = 398,076.42/667.75
  6. Step 6: Final answer
    x = 596.15

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1.5x scale

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.