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Finding the Fourth Proportional to 815.60, 1,224 and 450.69

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Solution

The fourth proportional to 815.60, 1,224 and 450.69 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.60 : 1,224 = 450.69 : x
  2. Step 2: Convert to fraction form
    815.60/1,224 = 450.69/x
  3. Step 3: Cross multiply
    815.60x = 1,224 × 450.69
  4. Step 4: Simplify right side
    815.60x = 551,644.56
  5. Step 5: Solve for x
    x = 551,644.56/815.60
  6. Step 6: Final answer
    x = 676.37

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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.