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Finding the Fourth Proportional to 634.02, 874.89 and 354.21

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Solution

The fourth proportional to 634.02, 874.89 and 354.21 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.02 : 874.89 = 354.21 : x
  2. Step 2: Convert to fraction form
    634.02/874.89 = 354.21/x
  3. Step 3: Cross multiply
    634.02x = 874.89 × 354.21
  4. Step 4: Simplify right side
    634.02x = 309,895.80
  5. Step 5: Solve for x
    x = 309,895.80/634.02
  6. Step 6: Final answer
    x = 488.78

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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.