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Finding the Fourth Proportional to 815.62, 1,222.83 and 523.45

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Solution

The fourth proportional to 815.62, 1,222.83 and 523.45 is: 784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.62 : 1,222.83 = 523.45 : x
  2. Step 2: Convert to fraction form
    815.62/1,222.83 = 523.45/x
  3. Step 3: Cross multiply
    815.62x = 1,222.83 × 523.45
  4. Step 4: Simplify right side
    815.62x = 640,091.89
  5. Step 5: Solve for x
    x = 640,091.89/815.62
  6. Step 6: Final answer
    x = 784.79

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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.