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Finding the Fourth Proportional to 544.14, 815.69 and 297.44

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Solution

The fourth proportional to 544.14, 815.69 and 297.44 is: 445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 815.69 = 297.44 : x
  2. Step 2: Convert to fraction form
    544.14/815.69 = 297.44/x
  3. Step 3: Cross multiply
    544.14x = 815.69 × 297.44
  4. Step 4: Simplify right side
    544.14x = 242,613.27
  5. Step 5: Solve for x
    x = 242,613.27/544.14
  6. Step 6: Final answer
    x = 445.87

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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.