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Finding the Fourth Proportional to 544.84, 817.26 and 382.60

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Solution

The fourth proportional to 544.84, 817.26 and 382.60 is: 573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.84 : 817.26 = 382.60 : x
  2. Step 2: Convert to fraction form
    544.84/817.26 = 382.60/x
  3. Step 3: Cross multiply
    544.84x = 817.26 × 382.60
  4. Step 4: Simplify right side
    544.84x = 312,683.68
  5. Step 5: Solve for x
    x = 312,683.68/544.84
  6. Step 6: Final answer
    x = 573.90

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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.