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Finding the Fourth Proportional to 547.58, 755.74 and 311.54

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Solution

The fourth proportional to 547.58, 755.74 and 311.54 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.58 : 755.74 = 311.54 : x
  2. Step 2: Convert to fraction form
    547.58/755.74 = 311.54/x
  3. Step 3: Cross multiply
    547.58x = 755.74 × 311.54
  4. Step 4: Simplify right side
    547.58x = 235,443.24
  5. Step 5: Solve for x
    x = 235,443.24/547.58
  6. Step 6: Final answer
    x = 429.97

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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.