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Finding the Fourth Proportional to 603.19, 832.20 and 382.11

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Solution

The fourth proportional to 603.19, 832.20 and 382.11 is: 527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.19 : 832.20 = 382.11 : x
  2. Step 2: Convert to fraction form
    603.19/832.20 = 382.11/x
  3. Step 3: Cross multiply
    603.19x = 832.20 × 382.11
  4. Step 4: Simplify right side
    603.19x = 317,991.94
  5. Step 5: Solve for x
    x = 317,991.94/603.19
  6. Step 6: Final answer
    x = 527.18

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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.