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Finding the Fourth Proportional to 815.26, 1,222.58 and 353.00

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Solution

The fourth proportional to 815.26, 1,222.58 and 353.00 is: 529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.26 : 1,222.58 = 353.00 : x
  2. Step 2: Convert to fraction form
    815.26/1,222.58 = 353.00/x
  3. Step 3: Cross multiply
    815.26x = 1,222.58 × 353.00
  4. Step 4: Simplify right side
    815.26x = 431,572.03
  5. Step 5: Solve for x
    x = 431,572.03/815.26
  6. Step 6: Final answer
    x = 529.37

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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.