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Finding the Fourth Proportional to 1,439.18, 1,986.03 and 809.78

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Solution

The fourth proportional to 1,439.18, 1,986.03 and 809.78 is: 1,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.18 : 1,986.03 = 809.78 : x
  2. Step 2: Convert to fraction form
    1,439.18/1,986.03 = 809.78/x
  3. Step 3: Cross multiply
    1,439.18x = 1,986.03 × 809.78
  4. Step 4: Simplify right side
    1,439.18x = 1,608,247.37
  5. Step 5: Solve for x
    x = 1,608,247.37/1,439.18
  6. Step 6: Final answer
    x = 1,117.47

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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.