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Finding the Fourth Proportional to 1,507.97, 2,260.45 and 727.75

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Solution

The fourth proportional to 1,507.97, 2,260.45 and 727.75 is: 1,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.97 : 2,260.45 = 727.75 : x
  2. Step 2: Convert to fraction form
    1,507.97/2,260.45 = 727.75/x
  3. Step 3: Cross multiply
    1,507.97x = 2,260.45 × 727.75
  4. Step 4: Simplify right side
    1,507.97x = 1,645,042.49
  5. Step 5: Solve for x
    x = 1,645,042.49/1,507.97
  6. Step 6: Final answer
    x = 1,090.90

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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.