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Finding the Fourth Proportional to 633.88, 874.72 and 354.09

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Solution

The fourth proportional to 633.88, 874.72 and 354.09 is: 488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.88 : 874.72 = 354.09 : x
  2. Step 2: Convert to fraction form
    633.88/874.72 = 354.09/x
  3. Step 3: Cross multiply
    633.88x = 874.72 × 354.09
  4. Step 4: Simplify right side
    633.88x = 309,726.42
  5. Step 5: Solve for x
    x = 309,726.42/633.88
  6. Step 6: Final answer
    x = 488.62

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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.