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Finding the Fourth Proportional to 643.11, 887.09 and 380.94

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Solution

The fourth proportional to 643.11, 887.09 and 380.94 is: 525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.11 : 887.09 = 380.94 : x
  2. Step 2: Convert to fraction form
    643.11/887.09 = 380.94/x
  3. Step 3: Cross multiply
    643.11x = 887.09 × 380.94
  4. Step 4: Simplify right side
    643.11x = 337,928.06
  5. Step 5: Solve for x
    x = 337,928.06/643.11
  6. Step 6: Final answer
    x = 525.46

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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.