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Finding the Fourth Proportional to 1,182.82, 1,631.46 and 809.26

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Solution

The fourth proportional to 1,182.82, 1,631.46 and 809.26 is: 1,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.82 : 1,631.46 = 809.26 : x
  2. Step 2: Convert to fraction form
    1,182.82/1,631.46 = 809.26/x
  3. Step 3: Cross multiply
    1,182.82x = 1,631.46 × 809.26
  4. Step 4: Simplify right side
    1,182.82x = 1,320,275.32
  5. Step 5: Solve for x
    x = 1,320,275.32/1,182.82
  6. Step 6: Final answer
    x = 1,116.21

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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.