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Finding the Fourth Proportional to 806, 1,209.36 and 319.16

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Solution

The fourth proportional to 806, 1,209.36 and 319.16 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 1,209.36 = 319.16 : x
  2. Step 2: Convert to fraction form
    806/1,209.36 = 319.16/x
  3. Step 3: Cross multiply
    806x = 1,209.36 × 319.16
  4. Step 4: Simplify right side
    806x = 385,979.34
  5. Step 5: Solve for x
    x = 385,979.34/806
  6. Step 6: Final answer
    x = 478.88

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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.