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Finding the Fourth Proportional to 823.17, 1,233.70 and 616.12

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Solution

The fourth proportional to 823.17, 1,233.70 and 616.12 is: 923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.17 : 1,233.70 = 616.12 : x
  2. Step 2: Convert to fraction form
    823.17/1,233.70 = 616.12/x
  3. Step 3: Cross multiply
    823.17x = 1,233.70 × 616.12
  4. Step 4: Simplify right side
    823.17x = 760,102.62
  5. Step 5: Solve for x
    x = 760,102.62/823.17
  6. Step 6: Final answer
    x = 923.38

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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.