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Finding the Fourth Proportional to 632.60, 872.70 and 443.54

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Solution

The fourth proportional to 632.60, 872.70 and 443.54 is: 611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.60 : 872.70 = 443.54 : x
  2. Step 2: Convert to fraction form
    632.60/872.70 = 443.54/x
  3. Step 3: Cross multiply
    632.60x = 872.70 × 443.54
  4. Step 4: Simplify right side
    632.60x = 387,077.36
  5. Step 5: Solve for x
    x = 387,077.36/632.60
  6. Step 6: Final answer
    x = 611.88

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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.