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Finding the Fourth Proportional to 1,182.28, 1,631.04 and 809.32

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Solution

The fourth proportional to 1,182.28, 1,631.04 and 809.32 is: 1,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.28 : 1,631.04 = 809.32 : x
  2. Step 2: Convert to fraction form
    1,182.28/1,631.04 = 809.32/x
  3. Step 3: Cross multiply
    1,182.28x = 1,631.04 × 809.32
  4. Step 4: Simplify right side
    1,182.28x = 1,320,033.29
  5. Step 5: Solve for x
    x = 1,320,033.29/1,182.28
  6. Step 6: Final answer
    x = 1,116.51

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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.