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Finding the Fourth Proportional to 544.03, 816.05 and 382.43

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Solution

The fourth proportional to 544.03, 816.05 and 382.43 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.03 : 816.05 = 382.43 : x
  2. Step 2: Convert to fraction form
    544.03/816.05 = 382.43/x
  3. Step 3: Cross multiply
    544.03x = 816.05 × 382.43
  4. Step 4: Simplify right side
    544.03x = 312,082.13
  5. Step 5: Solve for x
    x = 312,082.13/544.03
  6. Step 6: Final answer
    x = 573.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.