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Finding the Fourth Proportional to 1,192.97, 1,789.82 and 576.56

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Solution

The fourth proportional to 1,192.97, 1,789.82 and 576.56 is: 865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.97 : 1,789.82 = 576.56 : x
  2. Step 2: Convert to fraction form
    1,192.97/1,789.82 = 576.56/x
  3. Step 3: Cross multiply
    1,192.97x = 1,789.82 × 576.56
  4. Step 4: Simplify right side
    1,192.97x = 1,031,935.74
  5. Step 5: Solve for x
    x = 1,031,935.74/1,192.97
  6. Step 6: Final answer
    x = 865.01

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1.5x scale

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.