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Finding the Fourth Proportional to 815.44, 1,224.24 and 425.74

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Solution

The fourth proportional to 815.44, 1,224.24 and 425.74 is: 639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.44 : 1,224.24 = 425.74 : x
  2. Step 2: Convert to fraction form
    815.44/1,224.24 = 425.74/x
  3. Step 3: Cross multiply
    815.44x = 1,224.24 × 425.74
  4. Step 4: Simplify right side
    815.44x = 521,207.94
  5. Step 5: Solve for x
    x = 521,207.94/815.44
  6. Step 6: Final answer
    x = 639.17

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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.