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Finding the Fourth Proportional to 547.82, 755.96 and 311.76

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Solution

The fourth proportional to 547.82, 755.96 and 311.76 is: 430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 755.96 = 311.76 : x
  2. Step 2: Convert to fraction form
    547.82/755.96 = 311.76/x
  3. Step 3: Cross multiply
    547.82x = 755.96 × 311.76
  4. Step 4: Simplify right side
    547.82x = 235,678.87
  5. Step 5: Solve for x
    x = 235,678.87/547.82
  6. Step 6: Final answer
    x = 430.21

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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.