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Finding the Fourth Proportional to 544.05, 815.89 and 324.75

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Solution

The fourth proportional to 544.05, 815.89 and 324.75 is: 487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.05 : 815.89 = 324.75 : x
  2. Step 2: Convert to fraction form
    544.05/815.89 = 324.75/x
  3. Step 3: Cross multiply
    544.05x = 815.89 × 324.75
  4. Step 4: Simplify right side
    544.05x = 264,960.28
  5. Step 5: Solve for x
    x = 264,960.28/544.05
  6. Step 6: Final answer
    x = 487.01

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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.