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Finding the Fourth Proportional to 628.65, 941.36 and 411.57

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Solution

The fourth proportional to 628.65, 941.36 and 411.57 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.65 : 941.36 = 411.57 : x
  2. Step 2: Convert to fraction form
    628.65/941.36 = 411.57/x
  3. Step 3: Cross multiply
    628.65x = 941.36 × 411.57
  4. Step 4: Simplify right side
    628.65x = 387,433.48
  5. Step 5: Solve for x
    x = 387,433.48/628.65
  6. Step 6: Final answer
    x = 616.29

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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.