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Finding the Fourth Proportional to 806.04, 1,209.30 and 319.08

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Solution

The fourth proportional to 806.04, 1,209.30 and 319.08 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.04 : 1,209.30 = 319.08 : x
  2. Step 2: Convert to fraction form
    806.04/1,209.30 = 319.08/x
  3. Step 3: Cross multiply
    806.04x = 1,209.30 × 319.08
  4. Step 4: Simplify right side
    806.04x = 385,863.44
  5. Step 5: Solve for x
    x = 385,863.44/806.04
  6. Step 6: Final answer
    x = 478.72

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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.