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Finding the Fourth Proportional to 547.69, 755.78 and 299.00

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Solution

The fourth proportional to 547.69, 755.78 and 299.00 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.69 : 755.78 = 299.00 : x
  2. Step 2: Convert to fraction form
    547.69/755.78 = 299.00/x
  3. Step 3: Cross multiply
    547.69x = 755.78 × 299.00
  4. Step 4: Simplify right side
    547.69x = 225,975.19
  5. Step 5: Solve for x
    x = 225,975.19/547.69
  6. Step 6: Final answer
    x = 412.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.