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Finding the Fourth Proportional to 547.63, 755.75 and 311.55

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Solution

The fourth proportional to 547.63, 755.75 and 311.55 is: 429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.63 : 755.75 = 311.55 : x
  2. Step 2: Convert to fraction form
    547.63/755.75 = 311.55/x
  3. Step 3: Cross multiply
    547.63x = 755.75 × 311.55
  4. Step 4: Simplify right side
    547.63x = 235,452.35
  5. Step 5: Solve for x
    x = 235,452.35/547.63
  6. Step 6: Final answer
    x = 429.95

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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.