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Finding the Fourth Proportional to 634.74, 875.96 and 382.80

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Solution

The fourth proportional to 634.74, 875.96 and 382.80 is: 528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.74 : 875.96 = 382.80 : x
  2. Step 2: Convert to fraction form
    634.74/875.96 = 382.80/x
  3. Step 3: Cross multiply
    634.74x = 875.96 × 382.80
  4. Step 4: Simplify right side
    634.74x = 335,317.49
  5. Step 5: Solve for x
    x = 335,317.49/634.74
  6. Step 6: Final answer
    x = 528.28

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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.