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Finding the Fourth Proportional to 823.33, 1,232.99 and 433.65

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Solution

The fourth proportional to 823.33, 1,232.99 and 433.65 is: 649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.33 : 1,232.99 = 433.65 : x
  2. Step 2: Convert to fraction form
    823.33/1,232.99 = 433.65/x
  3. Step 3: Cross multiply
    823.33x = 1,232.99 × 433.65
  4. Step 4: Simplify right side
    823.33x = 534,690.20
  5. Step 5: Solve for x
    x = 534,690.20/823.33
  6. Step 6: Final answer
    x = 649.42

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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.