Home / 1,192.64-1,789.25-462.26

Finding the Fourth Proportional to 1,192.64, 1,789.25 and 462.26

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Solution

The fourth proportional to 1,192.64, 1,789.25 and 462.26 is: 693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.64 : 1,789.25 = 462.26 : x
  2. Step 2: Convert to fraction form
    1,192.64/1,789.25 = 462.26/x
  3. Step 3: Cross multiply
    1,192.64x = 1,789.25 × 462.26
  4. Step 4: Simplify right side
    1,192.64x = 827,087.45
  5. Step 5: Solve for x
    x = 827,087.45/1,192.64
  6. Step 6: Final answer
    x = 693.50

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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.