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Finding the Fourth Proportional to 815.74, 1,224.26 and 425.85

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Solution

The fourth proportional to 815.74, 1,224.26 and 425.85 is: 639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.74 : 1,224.26 = 425.85 : x
  2. Step 2: Convert to fraction form
    815.74/1,224.26 = 425.85/x
  3. Step 3: Cross multiply
    815.74x = 1,224.26 × 425.85
  4. Step 4: Simplify right side
    815.74x = 521,351.12
  5. Step 5: Solve for x
    x = 521,351.12/815.74
  6. Step 6: Final answer
    x = 639.11

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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.