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Finding the Fourth Proportional to 633.80, 945.02 and 628.14

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Solution

The fourth proportional to 633.80, 945.02 and 628.14 is: 936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 945.02 = 628.14 : x
  2. Step 2: Convert to fraction form
    633.80/945.02 = 628.14/x
  3. Step 3: Cross multiply
    633.80x = 945.02 × 628.14
  4. Step 4: Simplify right side
    633.80x = 593,604.86
  5. Step 5: Solve for x
    x = 593,604.86/633.80
  6. Step 6: Final answer
    x = 936.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.