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Finding the Fourth Proportional to 815.78, 1,222.61 and 523.17

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Solution

The fourth proportional to 815.78, 1,222.61 and 523.17 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.78 : 1,222.61 = 523.17 : x
  2. Step 2: Convert to fraction form
    815.78/1,222.61 = 523.17/x
  3. Step 3: Cross multiply
    815.78x = 1,222.61 × 523.17
  4. Step 4: Simplify right side
    815.78x = 639,632.87
  5. Step 5: Solve for x
    x = 639,632.87/815.78
  6. Step 6: Final answer
    x = 784.08

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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.