Home / 1,192.92-1,789.74-616.20

Finding the Fourth Proportional to 1,192.92, 1,789.74 and 616.20

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Solution

The fourth proportional to 1,192.92, 1,789.74 and 616.20 is: 924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.92 : 1,789.74 = 616.20 : x
  2. Step 2: Convert to fraction form
    1,192.92/1,789.74 = 616.20/x
  3. Step 3: Cross multiply
    1,192.92x = 1,789.74 × 616.20
  4. Step 4: Simplify right side
    1,192.92x = 1,102,837.79
  5. Step 5: Solve for x
    x = 1,102,837.79/1,192.92
  6. Step 6: Final answer
    x = 924.49

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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.