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Finding the Fourth Proportional to 547.82, 755.62 and 382.08

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Solution

The fourth proportional to 547.82, 755.62 and 382.08 is: 527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 755.62 = 382.08 : x
  2. Step 2: Convert to fraction form
    547.82/755.62 = 382.08/x
  3. Step 3: Cross multiply
    547.82x = 755.62 × 382.08
  4. Step 4: Simplify right side
    547.82x = 288,707.29
  5. Step 5: Solve for x
    x = 288,707.29/547.82
  6. Step 6: Final answer
    x = 527.01

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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.