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Finding the Fourth Proportional to 603.40, 832.43 and 382.12

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Solution

The fourth proportional to 603.40, 832.43 and 382.12 is: 527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.40 : 832.43 = 382.12 : x
  2. Step 2: Convert to fraction form
    603.40/832.43 = 382.12/x
  3. Step 3: Cross multiply
    603.40x = 832.43 × 382.12
  4. Step 4: Simplify right side
    603.40x = 318,084.88
  5. Step 5: Solve for x
    x = 318,084.88/603.40
  6. Step 6: Final answer
    x = 527.15

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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.