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Finding the Fourth Proportional to 546.28, 744.40 and 544.36

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Solution

The fourth proportional to 546.28, 744.40 and 544.36 is: 741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.28 : 744.40 = 544.36 : x
  2. Step 2: Convert to fraction form
    546.28/744.40 = 544.36/x
  3. Step 3: Cross multiply
    546.28x = 744.40 × 544.36
  4. Step 4: Simplify right side
    546.28x = 405,221.58
  5. Step 5: Solve for x
    x = 405,221.58/546.28
  6. Step 6: Final answer
    x = 741.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.