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Finding the Fourth Proportional to 815.58, 1,224.29 and 328.97

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Solution

The fourth proportional to 815.58, 1,224.29 and 328.97 is: 493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.58 : 1,224.29 = 328.97 : x
  2. Step 2: Convert to fraction form
    815.58/1,224.29 = 328.97/x
  3. Step 3: Cross multiply
    815.58x = 1,224.29 × 328.97
  4. Step 4: Simplify right side
    815.58x = 402,754.68
  5. Step 5: Solve for x
    x = 402,754.68/815.58
  6. Step 6: Final answer
    x = 493.83

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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.