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Finding the Fourth Proportional to 544.80, 752.94 and 414.78

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Solution

The fourth proportional to 544.80, 752.94 and 414.78 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.80 : 752.94 = 414.78 : x
  2. Step 2: Convert to fraction form
    544.80/752.94 = 414.78/x
  3. Step 3: Cross multiply
    544.80x = 752.94 × 414.78
  4. Step 4: Simplify right side
    544.80x = 312,304.45
  5. Step 5: Solve for x
    x = 312,304.45/544.80
  6. Step 6: Final answer
    x = 573.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.