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Finding the Fourth Proportional to 628.83, 942.03 and 411.75

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Solution

The fourth proportional to 628.83, 942.03 and 411.75 is: 616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.83 : 942.03 = 411.75 : x
  2. Step 2: Convert to fraction form
    628.83/942.03 = 411.75/x
  3. Step 3: Cross multiply
    628.83x = 942.03 × 411.75
  4. Step 4: Simplify right side
    628.83x = 387,880.85
  5. Step 5: Solve for x
    x = 387,880.85/628.83
  6. Step 6: Final answer
    x = 616.83

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Double scale
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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.