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Finding the Fourth Proportional to 544.48, 815.64 and 338.56

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Solution

The fourth proportional to 544.48, 815.64 and 338.56 is: 507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.48 : 815.64 = 338.56 : x
  2. Step 2: Convert to fraction form
    544.48/815.64 = 338.56/x
  3. Step 3: Cross multiply
    544.48x = 815.64 × 338.56
  4. Step 4: Simplify right side
    544.48x = 276,143.08
  5. Step 5: Solve for x
    x = 276,143.08/544.48
  6. Step 6: Final answer
    x = 507.17

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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.