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Finding the Fourth Proportional to 1,502.25, 2,253.57 and 680.73

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Solution

The fourth proportional to 1,502.25, 2,253.57 and 680.73 is: 1,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.25 : 2,253.57 = 680.73 : x
  2. Step 2: Convert to fraction form
    1,502.25/2,253.57 = 680.73/x
  3. Step 3: Cross multiply
    1,502.25x = 2,253.57 × 680.73
  4. Step 4: Simplify right side
    1,502.25x = 1,534,072.71
  5. Step 5: Solve for x
    x = 1,534,072.71/1,502.25
  6. Step 6: Final answer
    x = 1,021.18

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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.