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Finding the Fourth Proportional to 543.60, 746.82 and 445.14

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Solution

The fourth proportional to 543.60, 746.82 and 445.14 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 746.82 = 445.14 : x
  2. Step 2: Convert to fraction form
    543.60/746.82 = 445.14/x
  3. Step 3: Cross multiply
    543.60x = 746.82 × 445.14
  4. Step 4: Simplify right side
    543.60x = 332,439.45
  5. Step 5: Solve for x
    x = 332,439.45/543.60
  6. Step 6: Final answer
    x = 611.55

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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.