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Finding the Fourth Proportional to 634.29, 875.33 and 382.19

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Solution

The fourth proportional to 634.29, 875.33 and 382.19 is: 527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.29 : 875.33 = 382.19 : x
  2. Step 2: Convert to fraction form
    634.29/875.33 = 382.19/x
  3. Step 3: Cross multiply
    634.29x = 875.33 × 382.19
  4. Step 4: Simplify right side
    634.29x = 334,542.37
  5. Step 5: Solve for x
    x = 334,542.37/634.29
  6. Step 6: Final answer
    x = 527.43

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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.