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Finding the Fourth Proportional to 628.75, 941.92 and 382.03

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Solution

The fourth proportional to 628.75, 941.92 and 382.03 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.75 : 941.92 = 382.03 : x
  2. Step 2: Convert to fraction form
    628.75/941.92 = 382.03/x
  3. Step 3: Cross multiply
    628.75x = 941.92 × 382.03
  4. Step 4: Simplify right side
    628.75x = 359,838.39
  5. Step 5: Solve for x
    x = 359,838.39/628.75
  6. Step 6: Final answer
    x = 572.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.