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Finding the Fourth Proportional to 822.36, 1,232.82 and 309.72

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Solution

The fourth proportional to 822.36, 1,232.82 and 309.72 is: 464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.36 : 1,232.82 = 309.72 : x
  2. Step 2: Convert to fraction form
    822.36/1,232.82 = 309.72/x
  3. Step 3: Cross multiply
    822.36x = 1,232.82 × 309.72
  4. Step 4: Simplify right side
    822.36x = 381,829.01
  5. Step 5: Solve for x
    x = 381,829.01/822.36
  6. Step 6: Final answer
    x = 464.31

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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.