Home / 1,192.78-1,789.82-462.38

Finding the Fourth Proportional to 1,192.78, 1,789.82 and 462.38

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Solution

The fourth proportional to 1,192.78, 1,789.82 and 462.38 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.78 : 1,789.82 = 462.38 : x
  2. Step 2: Convert to fraction form
    1,192.78/1,789.82 = 462.38/x
  3. Step 3: Cross multiply
    1,192.78x = 1,789.82 × 462.38
  4. Step 4: Simplify right side
    1,192.78x = 827,574.66
  5. Step 5: Solve for x
    x = 827,574.66/1,192.78
  6. Step 6: Final answer
    x = 693.82

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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.