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Finding the Fourth Proportional to 1,224.84, 1,690.32 and 727.44

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Solution

The fourth proportional to 1,224.84, 1,690.32 and 727.44 is: 1,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.84 : 1,690.32 = 727.44 : x
  2. Step 2: Convert to fraction form
    1,224.84/1,690.32 = 727.44/x
  3. Step 3: Cross multiply
    1,224.84x = 1,690.32 × 727.44
  4. Step 4: Simplify right side
    1,224.84x = 1,229,606.38
  5. Step 5: Solve for x
    x = 1,229,606.38/1,224.84
  6. Step 6: Final answer
    x = 1,003.89

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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.