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Finding the Fourth Proportional to 544.05, 815.13 and 324.54

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Solution

The fourth proportional to 544.05, 815.13 and 324.54 is: 486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.05 : 815.13 = 324.54 : x
  2. Step 2: Convert to fraction form
    544.05/815.13 = 324.54/x
  3. Step 3: Cross multiply
    544.05x = 815.13 × 324.54
  4. Step 4: Simplify right side
    544.05x = 264,542.29
  5. Step 5: Solve for x
    x = 264,542.29/544.05
  6. Step 6: Final answer
    x = 486.25

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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.