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Finding the Fourth Proportional to 547.62, 755.64 and 311.48

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Solution

The fourth proportional to 547.62, 755.64 and 311.48 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.62 : 755.64 = 311.48 : x
  2. Step 2: Convert to fraction form
    547.62/755.64 = 311.48/x
  3. Step 3: Cross multiply
    547.62x = 755.64 × 311.48
  4. Step 4: Simplify right side
    547.62x = 235,366.75
  5. Step 5: Solve for x
    x = 235,366.75/547.62
  6. Step 6: Final answer
    x = 429.80

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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.