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Finding the Fourth Proportional to 809.82, 1,214.19 and 485.01

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Solution

The fourth proportional to 809.82, 1,214.19 and 485.01 is: 727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,214.19 = 485.01 : x
  2. Step 2: Convert to fraction form
    809.82/1,214.19 = 485.01/x
  3. Step 3: Cross multiply
    809.82x = 1,214.19 × 485.01
  4. Step 4: Simplify right side
    809.82x = 588,894.29
  5. Step 5: Solve for x
    x = 588,894.29/809.82
  6. Step 6: Final answer
    x = 727.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.