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Finding the Fourth Proportional to 449.30, 673.32 and 402.73

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Solution

The fourth proportional to 449.30, 673.32 and 402.73 is: 603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.30 : 673.32 = 402.73 : x
  2. Step 2: Convert to fraction form
    449.30/673.32 = 402.73/x
  3. Step 3: Cross multiply
    449.30x = 673.32 × 402.73
  4. Step 4: Simplify right side
    449.30x = 271,168.74
  5. Step 5: Solve for x
    x = 271,168.74/449.30
  6. Step 6: Final answer
    x = 603.53

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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.