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Finding the Fourth Proportional to 633.92, 949.92 and 470.88

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Solution

The fourth proportional to 633.92, 949.92 and 470.88 is: 705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.92 : 949.92 = 470.88 : x
  2. Step 2: Convert to fraction form
    633.92/949.92 = 470.88/x
  3. Step 3: Cross multiply
    633.92x = 949.92 × 470.88
  4. Step 4: Simplify right side
    633.92x = 447,298.33
  5. Step 5: Solve for x
    x = 447,298.33/633.92
  6. Step 6: Final answer
    x = 705.61

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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.