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Finding the Fourth Proportional to 815.54, 1,222.20 and 375.82

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Solution

The fourth proportional to 815.54, 1,222.20 and 375.82 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.54 : 1,222.20 = 375.82 : x
  2. Step 2: Convert to fraction form
    815.54/1,222.20 = 375.82/x
  3. Step 3: Cross multiply
    815.54x = 1,222.20 × 375.82
  4. Step 4: Simplify right side
    815.54x = 459,327.32
  5. Step 5: Solve for x
    x = 459,327.32/815.54
  6. Step 6: Final answer
    x = 563.22

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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.