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Finding the Fourth Proportional to 1,204.57, 1,663.49 and 832.51

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Solution

The fourth proportional to 1,204.57, 1,663.49 and 832.51 is: 1,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.57 : 1,663.49 = 832.51 : x
  2. Step 2: Convert to fraction form
    1,204.57/1,663.49 = 832.51/x
  3. Step 3: Cross multiply
    1,204.57x = 1,663.49 × 832.51
  4. Step 4: Simplify right side
    1,204.57x = 1,384,872.06
  5. Step 5: Solve for x
    x = 1,384,872.06/1,204.57
  6. Step 6: Final answer
    x = 1,149.68

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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.