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Finding the Fourth Proportional to 1,270.50, 1,906.10 and 449.35

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Solution

The fourth proportional to 1,270.50, 1,906.10 and 449.35 is: 674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.50 : 1,906.10 = 449.35 : x
  2. Step 2: Convert to fraction form
    1,270.50/1,906.10 = 449.35/x
  3. Step 3: Cross multiply
    1,270.50x = 1,906.10 × 449.35
  4. Step 4: Simplify right side
    1,270.50x = 856,500.71
  5. Step 5: Solve for x
    x = 856,500.71/1,270.50
  6. Step 6: Final answer
    x = 674.14

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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.