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Finding the Fourth Proportional to 547.60, 754.40 and 448.78

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Solution

The fourth proportional to 547.60, 754.40 and 448.78 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.60 : 754.40 = 448.78 : x
  2. Step 2: Convert to fraction form
    547.60/754.40 = 448.78/x
  3. Step 3: Cross multiply
    547.60x = 754.40 × 448.78
  4. Step 4: Simplify right side
    547.60x = 338,559.63
  5. Step 5: Solve for x
    x = 338,559.63/547.60
  6. Step 6: Final answer
    x = 618.26

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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.