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Finding the Fourth Proportional to 633.45, 874.21 and 353.69

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Solution

The fourth proportional to 633.45, 874.21 and 353.69 is: 488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.45 : 874.21 = 353.69 : x
  2. Step 2: Convert to fraction form
    633.45/874.21 = 353.69/x
  3. Step 3: Cross multiply
    633.45x = 874.21 × 353.69
  4. Step 4: Simplify right side
    633.45x = 309,199.33
  5. Step 5: Solve for x
    x = 309,199.33/633.45
  6. Step 6: Final answer
    x = 488.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.