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Finding the Fourth Proportional to 806.30, 1,209.24 and 389.42

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Solution

The fourth proportional to 806.30, 1,209.24 and 389.42 is: 584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.30 : 1,209.24 = 389.42 : x
  2. Step 2: Convert to fraction form
    806.30/1,209.24 = 389.42/x
  3. Step 3: Cross multiply
    806.30x = 1,209.24 × 389.42
  4. Step 4: Simplify right side
    806.30x = 470,902.24
  5. Step 5: Solve for x
    x = 470,902.24/806.30
  6. Step 6: Final answer
    x = 584.03

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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.