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Finding the Fourth Proportional to 633.49, 951.83 and 402.48

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Solution

The fourth proportional to 633.49, 951.83 and 402.48 is: 604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.49 : 951.83 = 402.48 : x
  2. Step 2: Convert to fraction form
    633.49/951.83 = 402.48/x
  3. Step 3: Cross multiply
    633.49x = 951.83 × 402.48
  4. Step 4: Simplify right side
    633.49x = 383,090.53
  5. Step 5: Solve for x
    x = 383,090.53/633.49
  6. Step 6: Final answer
    x = 604.73

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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.