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Finding the Fourth Proportional to 544.81, 816.65 and 414.54

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Solution

The fourth proportional to 544.81, 816.65 and 414.54 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.81 : 816.65 = 414.54 : x
  2. Step 2: Convert to fraction form
    544.81/816.65 = 414.54/x
  3. Step 3: Cross multiply
    544.81x = 816.65 × 414.54
  4. Step 4: Simplify right side
    544.81x = 338,534.09
  5. Step 5: Solve for x
    x = 338,534.09/544.81
  6. Step 6: Final answer
    x = 621.38

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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.