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Finding the Fourth Proportional to 628.90, 942.12 and 411.82

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Solution

The fourth proportional to 628.90, 942.12 and 411.82 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.90 : 942.12 = 411.82 : x
  2. Step 2: Convert to fraction form
    628.90/942.12 = 411.82/x
  3. Step 3: Cross multiply
    628.90x = 942.12 × 411.82
  4. Step 4: Simplify right side
    628.90x = 387,983.86
  5. Step 5: Solve for x
    x = 387,983.86/628.90
  6. Step 6: Final answer
    x = 616.92

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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.