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Finding the Fourth Proportional to 544.60, 748.19 and 446.14

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Solution

The fourth proportional to 544.60, 748.19 and 446.14 is: 612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.60 : 748.19 = 446.14 : x
  2. Step 2: Convert to fraction form
    544.60/748.19 = 446.14/x
  3. Step 3: Cross multiply
    544.60x = 748.19 × 446.14
  4. Step 4: Simplify right side
    544.60x = 333,797.49
  5. Step 5: Solve for x
    x = 333,797.49/544.60
  6. Step 6: Final answer
    x = 612.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.