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Finding the Fourth Proportional to 815.70, 1,224.36 and 450.66

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Solution

The fourth proportional to 815.70, 1,224.36 and 450.66 is: 676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.70 : 1,224.36 = 450.66 : x
  2. Step 2: Convert to fraction form
    815.70/1,224.36 = 450.66/x
  3. Step 3: Cross multiply
    815.70x = 1,224.36 × 450.66
  4. Step 4: Simplify right side
    815.70x = 551,770.08
  5. Step 5: Solve for x
    x = 551,770.08/815.70
  6. Step 6: Final answer
    x = 676.44

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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.