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Finding the Fourth Proportional to 667.86, 921.90 and 459.12

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Solution

The fourth proportional to 667.86, 921.90 and 459.12 is: 633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.86 : 921.90 = 459.12 : x
  2. Step 2: Convert to fraction form
    667.86/921.90 = 459.12/x
  3. Step 3: Cross multiply
    667.86x = 921.90 × 459.12
  4. Step 4: Simplify right side
    667.86x = 423,262.73
  5. Step 5: Solve for x
    x = 423,262.73/667.86
  6. Step 6: Final answer
    x = 633.76

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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.