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Finding the Fourth Proportional to 1,248.19, 1,722.20 and 806.02

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Solution

The fourth proportional to 1,248.19, 1,722.20 and 806.02 is: 1,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.19 : 1,722.20 = 806.02 : x
  2. Step 2: Convert to fraction form
    1,248.19/1,722.20 = 806.02/x
  3. Step 3: Cross multiply
    1,248.19x = 1,722.20 × 806.02
  4. Step 4: Simplify right side
    1,248.19x = 1,388,121.05
  5. Step 5: Solve for x
    x = 1,388,121.05/1,248.19
  6. Step 6: Final answer
    x = 1,112.11

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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.