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Finding the Fourth Proportional to 544.81, 816.81 and 350.03

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Solution

The fourth proportional to 544.81, 816.81 and 350.03 is: 524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.81 : 816.81 = 350.03 : x
  2. Step 2: Convert to fraction form
    544.81/816.81 = 350.03/x
  3. Step 3: Cross multiply
    544.81x = 816.81 × 350.03
  4. Step 4: Simplify right side
    544.81x = 285,908.00
  5. Step 5: Solve for x
    x = 285,908.00/544.81
  6. Step 6: Final answer
    x = 524.78

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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.