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Finding the Fourth Proportional to 544.80, 816.20 and 475.50

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Solution

The fourth proportional to 544.80, 816.20 and 475.50 is: 712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.80 : 816.20 = 475.50 : x
  2. Step 2: Convert to fraction form
    544.80/816.20 = 475.50/x
  3. Step 3: Cross multiply
    544.80x = 816.20 × 475.50
  4. Step 4: Simplify right side
    544.80x = 388,103.10
  5. Step 5: Solve for x
    x = 388,103.10/544.80
  6. Step 6: Final answer
    x = 712.38

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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.