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Finding the Fourth Proportional to 815.59, 1,223.38 and 382.44

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Solution

The fourth proportional to 815.59, 1,223.38 and 382.44 is: 573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.59 : 1,223.38 = 382.44 : x
  2. Step 2: Convert to fraction form
    815.59/1,223.38 = 382.44/x
  3. Step 3: Cross multiply
    815.59x = 1,223.38 × 382.44
  4. Step 4: Simplify right side
    815.59x = 467,867.54
  5. Step 5: Solve for x
    x = 467,867.54/815.59
  6. Step 6: Final answer
    x = 573.66

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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.