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Finding the Fourth Proportional to 547.70, 756.09 and 371.58

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Solution

The fourth proportional to 547.70, 756.09 and 371.58 is: 512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 756.09 = 371.58 : x
  2. Step 2: Convert to fraction form
    547.70/756.09 = 371.58/x
  3. Step 3: Cross multiply
    547.70x = 756.09 × 371.58
  4. Step 4: Simplify right side
    547.70x = 280,947.92
  5. Step 5: Solve for x
    x = 280,947.92/547.70
  6. Step 6: Final answer
    x = 512.96

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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.