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Finding the Fourth Proportional to 633.09, 945.36 and 517.76

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Solution

The fourth proportional to 633.09, 945.36 and 517.76 is: 773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.09 : 945.36 = 517.76 : x
  2. Step 2: Convert to fraction form
    633.09/945.36 = 517.76/x
  3. Step 3: Cross multiply
    633.09x = 945.36 × 517.76
  4. Step 4: Simplify right side
    633.09x = 489,469.59
  5. Step 5: Solve for x
    x = 489,469.59/633.09
  6. Step 6: Final answer
    x = 773.14

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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.