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Finding the Fourth Proportional to 633.46, 950 and 340.78

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Solution

The fourth proportional to 633.46, 950 and 340.78 is: 511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.46 : 950 = 340.78 : x
  2. Step 2: Convert to fraction form
    633.46/950 = 340.78/x
  3. Step 3: Cross multiply
    633.46x = 950 × 340.78
  4. Step 4: Simplify right side
    633.46x = 323,741
  5. Step 5: Solve for x
    x = 323,741/633.46
  6. Step 6: Final answer
    x = 511.07

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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.