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Finding the Fourth Proportional to 823.28, 1,232.10 and 641.50

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Solution

The fourth proportional to 823.28, 1,232.10 and 641.50 is: 960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.28 : 1,232.10 = 641.50 : x
  2. Step 2: Convert to fraction form
    823.28/1,232.10 = 641.50/x
  3. Step 3: Cross multiply
    823.28x = 1,232.10 × 641.50
  4. Step 4: Simplify right side
    823.28x = 790,392.15
  5. Step 5: Solve for x
    x = 790,392.15/823.28
  6. Step 6: Final answer
    x = 960.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.