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Finding the Fourth Proportional to 823.13, 1,231.61 and 513.53

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Solution

The fourth proportional to 823.13, 1,231.61 and 513.53 is: 768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.13 : 1,231.61 = 513.53 : x
  2. Step 2: Convert to fraction form
    823.13/1,231.61 = 513.53/x
  3. Step 3: Cross multiply
    823.13x = 1,231.61 × 513.53
  4. Step 4: Simplify right side
    823.13x = 632,468.68
  5. Step 5: Solve for x
    x = 632,468.68/823.13
  6. Step 6: Final answer
    x = 768.37

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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.