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Finding the Fourth Proportional to 1,192.46, 1,644.71 and 798.80

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Solution

The fourth proportional to 1,192.46, 1,644.71 and 798.80 is: 1,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.46 : 1,644.71 = 798.80 : x
  2. Step 2: Convert to fraction form
    1,192.46/1,644.71 = 798.80/x
  3. Step 3: Cross multiply
    1,192.46x = 1,644.71 × 798.80
  4. Step 4: Simplify right side
    1,192.46x = 1,313,782.13
  5. Step 5: Solve for x
    x = 1,313,782.13/1,192.46
  6. Step 6: Final answer
    x = 1,101.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.