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Finding the Fourth Proportional to 815.16, 1,223.50 and 449.44

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Solution

The fourth proportional to 815.16, 1,223.50 and 449.44 is: 674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.16 : 1,223.50 = 449.44 : x
  2. Step 2: Convert to fraction form
    815.16/1,223.50 = 449.44/x
  3. Step 3: Cross multiply
    815.16x = 1,223.50 × 449.44
  4. Step 4: Simplify right side
    815.16x = 549,889.84
  5. Step 5: Solve for x
    x = 549,889.84/815.16
  6. Step 6: Final answer
    x = 674.58

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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.