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Finding the Fourth Proportional to 815.60, 1,223.07 and 382.46

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Solution

The fourth proportional to 815.60, 1,223.07 and 382.46 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.60 : 1,223.07 = 382.46 : x
  2. Step 2: Convert to fraction form
    815.60/1,223.07 = 382.46/x
  3. Step 3: Cross multiply
    815.60x = 1,223.07 × 382.46
  4. Step 4: Simplify right side
    815.60x = 467,769.24
  5. Step 5: Solve for x
    x = 467,769.24/815.60
  6. Step 6: Final answer
    x = 573.53

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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.