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Finding the Fourth Proportional to 544.47, 817.11 and 328.20

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Solution

The fourth proportional to 544.47, 817.11 and 328.20 is: 492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.47 : 817.11 = 328.20 : x
  2. Step 2: Convert to fraction form
    544.47/817.11 = 328.20/x
  3. Step 3: Cross multiply
    544.47x = 817.11 × 328.20
  4. Step 4: Simplify right side
    544.47x = 268,175.50
  5. Step 5: Solve for x
    x = 268,175.50/544.47
  6. Step 6: Final answer
    x = 492.54

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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.