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Finding the Fourth Proportional to 823.57, 1,233.32 and 639.43

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Solution

The fourth proportional to 823.57, 1,233.32 and 639.43 is: 957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,233.32 = 639.43 : x
  2. Step 2: Convert to fraction form
    823.57/1,233.32 = 639.43/x
  3. Step 3: Cross multiply
    823.57x = 1,233.32 × 639.43
  4. Step 4: Simplify right side
    823.57x = 788,621.81
  5. Step 5: Solve for x
    x = 788,621.81/823.57
  6. Step 6: Final answer
    x = 957.57

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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.