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Finding the Fourth Proportional to 667.12, 920.83 and 387.42

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Solution

The fourth proportional to 667.12, 920.83 and 387.42 is: 534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.12 : 920.83 = 387.42 : x
  2. Step 2: Convert to fraction form
    667.12/920.83 = 387.42/x
  3. Step 3: Cross multiply
    667.12x = 920.83 × 387.42
  4. Step 4: Simplify right side
    667.12x = 356,750.44
  5. Step 5: Solve for x
    x = 356,750.44/667.12
  6. Step 6: Final answer
    x = 534.76

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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.