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Finding the Fourth Proportional to 547.41, 755.60 and 381.68

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Solution

The fourth proportional to 547.41, 755.60 and 381.68 is: 526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.41 : 755.60 = 381.68 : x
  2. Step 2: Convert to fraction form
    547.41/755.60 = 381.68/x
  3. Step 3: Cross multiply
    547.41x = 755.60 × 381.68
  4. Step 4: Simplify right side
    547.41x = 288,394.56
  5. Step 5: Solve for x
    x = 288,394.56/547.41
  6. Step 6: Final answer
    x = 526.84

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1.5x scale

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.