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Finding the Fourth Proportional to 815.37, 1,220.96 and 449.75

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Solution

The fourth proportional to 815.37, 1,220.96 and 449.75 is: 673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.37 : 1,220.96 = 449.75 : x
  2. Step 2: Convert to fraction form
    815.37/1,220.96 = 449.75/x
  3. Step 3: Cross multiply
    815.37x = 1,220.96 × 449.75
  4. Step 4: Simplify right side
    815.37x = 549,130.94
  5. Step 5: Solve for x
    x = 549,130.94/815.37
  6. Step 6: Final answer
    x = 673.47

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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.