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Finding the Fourth Proportional to 547.60, 755.65 and 311.54

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Solution

The fourth proportional to 547.60, 755.65 and 311.54 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.60 : 755.65 = 311.54 : x
  2. Step 2: Convert to fraction form
    547.60/755.65 = 311.54/x
  3. Step 3: Cross multiply
    547.60x = 755.65 × 311.54
  4. Step 4: Simplify right side
    547.60x = 235,417.09
  5. Step 5: Solve for x
    x = 235,417.09/547.60
  6. Step 6: Final answer
    x = 429.91

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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.