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Finding the Fourth Proportional to 1,270.47, 1,905.77 and 449.13

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Solution

The fourth proportional to 1,270.47, 1,905.77 and 449.13 is: 673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.47 : 1,905.77 = 449.13 : x
  2. Step 2: Convert to fraction form
    1,270.47/1,905.77 = 449.13/x
  3. Step 3: Cross multiply
    1,270.47x = 1,905.77 × 449.13
  4. Step 4: Simplify right side
    1,270.47x = 855,939.60
  5. Step 5: Solve for x
    x = 855,939.60/1,270.47
  6. Step 6: Final answer
    x = 673.72

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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.