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Finding the Fourth Proportional to 823.74, 1,233.72 and 649.19

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Solution

The fourth proportional to 823.74, 1,233.72 and 649.19 is: 972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.74 : 1,233.72 = 649.19 : x
  2. Step 2: Convert to fraction form
    823.74/1,233.72 = 649.19/x
  3. Step 3: Cross multiply
    823.74x = 1,233.72 × 649.19
  4. Step 4: Simplify right side
    823.74x = 800,912.52
  5. Step 5: Solve for x
    x = 800,912.52/823.74
  6. Step 6: Final answer
    x = 972.29

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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.