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Finding the Fourth Proportional to 806.29, 1,209.47 and 480.94

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Solution

The fourth proportional to 806.29, 1,209.47 and 480.94 is: 721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.29 : 1,209.47 = 480.94 : x
  2. Step 2: Convert to fraction form
    806.29/1,209.47 = 480.94/x
  3. Step 3: Cross multiply
    806.29x = 1,209.47 × 480.94
  4. Step 4: Simplify right side
    806.29x = 581,677.07
  5. Step 5: Solve for x
    x = 581,677.07/806.29
  6. Step 6: Final answer
    x = 721.43

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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.