Home / 1,192.78-1,789.29-442.49

Finding the Fourth Proportional to 1,192.78, 1,789.29 and 442.49

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Solution

The fourth proportional to 1,192.78, 1,789.29 and 442.49 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.78 : 1,789.29 = 442.49 : x
  2. Step 2: Convert to fraction form
    1,192.78/1,789.29 = 442.49/x
  3. Step 3: Cross multiply
    1,192.78x = 1,789.29 × 442.49
  4. Step 4: Simplify right side
    1,192.78x = 791,747.41
  5. Step 5: Solve for x
    x = 791,747.41/1,192.78
  6. Step 6: Final answer
    x = 663.78

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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.