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Finding the Fourth Proportional to 547.28, 755.34 and 314.54

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Solution

The fourth proportional to 547.28, 755.34 and 314.54 is: 434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 755.34 = 314.54 : x
  2. Step 2: Convert to fraction form
    547.28/755.34 = 314.54/x
  3. Step 3: Cross multiply
    547.28x = 755.34 × 314.54
  4. Step 4: Simplify right side
    547.28x = 237,584.64
  5. Step 5: Solve for x
    x = 237,584.64/547.28
  6. Step 6: Final answer
    x = 434.12

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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.