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Finding the Fourth Proportional to 544.83, 817.11 and 338.64

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Solution

The fourth proportional to 544.83, 817.11 and 338.64 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.83 : 817.11 = 338.64 : x
  2. Step 2: Convert to fraction form
    544.83/817.11 = 338.64/x
  3. Step 3: Cross multiply
    544.83x = 817.11 × 338.64
  4. Step 4: Simplify right side
    544.83x = 276,706.13
  5. Step 5: Solve for x
    x = 276,706.13/544.83
  6. Step 6: Final answer
    x = 507.88

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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.