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Finding the Fourth Proportional to 809.20, 1,116.72 and 494.42

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Solution

The fourth proportional to 809.20, 1,116.72 and 494.42 is: 682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.20 : 1,116.72 = 494.42 : x
  2. Step 2: Convert to fraction form
    809.20/1,116.72 = 494.42/x
  3. Step 3: Cross multiply
    809.20x = 1,116.72 × 494.42
  4. Step 4: Simplify right side
    809.20x = 552,131.49
  5. Step 5: Solve for x
    x = 552,131.49/809.20
  6. Step 6: Final answer
    x = 682.32

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Half scale
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Double scale
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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.