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Finding the Fourth Proportional to 1,224.43, 1,688.94 and 726.72

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Solution

The fourth proportional to 1,224.43, 1,688.94 and 726.72 is: 1,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.43 : 1,688.94 = 726.72 : x
  2. Step 2: Convert to fraction form
    1,224.43/1,688.94 = 726.72/x
  3. Step 3: Cross multiply
    1,224.43x = 1,688.94 × 726.72
  4. Step 4: Simplify right side
    1,224.43x = 1,227,380.14
  5. Step 5: Solve for x
    x = 1,227,380.14/1,224.43
  6. Step 6: Final answer
    x = 1,002.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.