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Finding the Fourth Proportional to 633.85, 951.20 and 309.45

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Solution

The fourth proportional to 633.85, 951.20 and 309.45 is: 464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.85 : 951.20 = 309.45 : x
  2. Step 2: Convert to fraction form
    633.85/951.20 = 309.45/x
  3. Step 3: Cross multiply
    633.85x = 951.20 × 309.45
  4. Step 4: Simplify right side
    633.85x = 294,348.84
  5. Step 5: Solve for x
    x = 294,348.84/633.85
  6. Step 6: Final answer
    x = 464.38

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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.