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Finding the Fourth Proportional to 544.78, 817.62 and 380.30

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Solution

The fourth proportional to 544.78, 817.62 and 380.30 is: 570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 817.62 = 380.30 : x
  2. Step 2: Convert to fraction form
    544.78/817.62 = 380.30/x
  3. Step 3: Cross multiply
    544.78x = 817.62 × 380.30
  4. Step 4: Simplify right side
    544.78x = 310,936.44
  5. Step 5: Solve for x
    x = 310,936.44/544.78
  6. Step 6: Final answer
    x = 570.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.