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Finding the Fourth Proportional to 1,119.08, 1,679.46 and 806.57

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Solution

The fourth proportional to 1,119.08, 1,679.46 and 806.57 is: 1,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.08 : 1,679.46 = 806.57 : x
  2. Step 2: Convert to fraction form
    1,119.08/1,679.46 = 806.57/x
  3. Step 3: Cross multiply
    1,119.08x = 1,679.46 × 806.57
  4. Step 4: Simplify right side
    1,119.08x = 1,354,606.25
  5. Step 5: Solve for x
    x = 1,354,606.25/1,119.08
  6. Step 6: Final answer
    x = 1,210.47

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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.