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Finding the Fourth Proportional to 806.41, 1,209.72 and 319.51

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Solution

The fourth proportional to 806.41, 1,209.72 and 319.51 is: 479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.41 : 1,209.72 = 319.51 : x
  2. Step 2: Convert to fraction form
    806.41/1,209.72 = 319.51/x
  3. Step 3: Cross multiply
    806.41x = 1,209.72 × 319.51
  4. Step 4: Simplify right side
    806.41x = 386,511.59
  5. Step 5: Solve for x
    x = 386,511.59/806.41
  6. Step 6: Final answer
    x = 479.30

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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.