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Finding the Fourth Proportional to 603.33, 832.41 and 382.20

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Solution

The fourth proportional to 603.33, 832.41 and 382.20 is: 527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.33 : 832.41 = 382.20 : x
  2. Step 2: Convert to fraction form
    603.33/832.41 = 382.20/x
  3. Step 3: Cross multiply
    603.33x = 832.41 × 382.20
  4. Step 4: Simplify right side
    603.33x = 318,147.10
  5. Step 5: Solve for x
    x = 318,147.10/603.33
  6. Step 6: Final answer
    x = 527.32

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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.