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Finding the Fourth Proportional to 611.60, 842.85 and 445.50

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Solution

The fourth proportional to 611.60, 842.85 and 445.50 is: 613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 842.85 = 445.50 : x
  2. Step 2: Convert to fraction form
    611.60/842.85 = 445.50/x
  3. Step 3: Cross multiply
    611.60x = 842.85 × 445.50
  4. Step 4: Simplify right side
    611.60x = 375,489.68
  5. Step 5: Solve for x
    x = 375,489.68/611.60
  6. Step 6: Final answer
    x = 613.95

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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.