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Finding the Fourth Proportional to 547.60, 754.42 and 448.78

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Solution

The fourth proportional to 547.60, 754.42 and 448.78 is: 618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.60 : 754.42 = 448.78 : x
  2. Step 2: Convert to fraction form
    547.60/754.42 = 448.78/x
  3. Step 3: Cross multiply
    547.60x = 754.42 × 448.78
  4. Step 4: Simplify right side
    547.60x = 338,568.61
  5. Step 5: Solve for x
    x = 338,568.61/547.60
  6. Step 6: Final answer
    x = 618.28

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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.