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Finding the Fourth Proportional to 547.22, 754.74 and 381.48

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Solution

The fourth proportional to 547.22, 754.74 and 381.48 is: 526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 754.74 = 381.48 : x
  2. Step 2: Convert to fraction form
    547.22/754.74 = 381.48/x
  3. Step 3: Cross multiply
    547.22x = 754.74 × 381.48
  4. Step 4: Simplify right side
    547.22x = 287,918.22
  5. Step 5: Solve for x
    x = 287,918.22/547.22
  6. Step 6: Final answer
    x = 526.15

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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.