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Finding the Fourth Proportional to 1,192.69, 1,789.42 and 576.46

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Solution

The fourth proportional to 1,192.69, 1,789.42 and 576.46 is: 864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.69 : 1,789.42 = 576.46 : x
  2. Step 2: Convert to fraction form
    1,192.69/1,789.42 = 576.46/x
  3. Step 3: Cross multiply
    1,192.69x = 1,789.42 × 576.46
  4. Step 4: Simplify right side
    1,192.69x = 1,031,526.17
  5. Step 5: Solve for x
    x = 1,031,526.17/1,192.69
  6. Step 6: Final answer
    x = 864.88

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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.