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Finding the Fourth Proportional to 822.33, 1,232.88 and 302.05

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Solution

The fourth proportional to 822.33, 1,232.88 and 302.05 is: 452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.33 : 1,232.88 = 302.05 : x
  2. Step 2: Convert to fraction form
    822.33/1,232.88 = 302.05/x
  3. Step 3: Cross multiply
    822.33x = 1,232.88 × 302.05
  4. Step 4: Simplify right side
    822.33x = 372,391.40
  5. Step 5: Solve for x
    x = 372,391.40/822.33
  6. Step 6: Final answer
    x = 452.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.