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Finding the Fourth Proportional to 1,192.82, 1,646.85 and 819.68

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Solution

The fourth proportional to 1,192.82, 1,646.85 and 819.68 is: 1,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.82 : 1,646.85 = 819.68 : x
  2. Step 2: Convert to fraction form
    1,192.82/1,646.85 = 819.68/x
  3. Step 3: Cross multiply
    1,192.82x = 1,646.85 × 819.68
  4. Step 4: Simplify right side
    1,192.82x = 1,349,890.01
  5. Step 5: Solve for x
    x = 1,349,890.01/1,192.82
  6. Step 6: Final answer
    x = 1,131.68

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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.