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Finding the Fourth Proportional to 809.21, 1,116.22 and 514.23

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Solution

The fourth proportional to 809.21, 1,116.22 and 514.23 is: 709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.21 : 1,116.22 = 514.23 : x
  2. Step 2: Convert to fraction form
    809.21/1,116.22 = 514.23/x
  3. Step 3: Cross multiply
    809.21x = 1,116.22 × 514.23
  4. Step 4: Simplify right side
    809.21x = 573,993.81
  5. Step 5: Solve for x
    x = 573,993.81/809.21
  6. Step 6: Final answer
    x = 709.33

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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.